Mathematics Calculators

Solve math problems with ease using our collection of online mathematics calculators. Covering topics from algebra and geometry to equations and number theory, these tools are designed for students, teachers, and professionals seeking quick, accurate answers.

Algebra

Geometry

Difference of Cubes

The Difference of Cubes calculator helps you quickly find the result of subtracting one cube from another using the identity formula. This tool is useful for students, teachers, and anyone solving algebraic expressions involving cube terms. Simply enter two numbers A and B to calculate A^3 - B^3.

Fourth Root

This Fourth Root Calculator helps you find the number that, when raised to the fourth power, equals the input value. It’s useful for students, engineers, and anyone working with powers and roots. Just enter a number to instantly calculate its fourth root.

Relative Percentage Difference

Use this Relative Percentage Difference Calculator to measure the variation between two values in percentage terms. It is helpful for comparing experimental vs theoretical values, evaluating financial changes, or analyzing measurement accuracy. Just input the two numbers and get the result instantly.

Linear Size

This Linear Size Calculator helps determine the actual linear dimension of an object based on its distance and angular size. It’s useful for optical calculations, astronomy, photography, and any field involving angular measurement. Simply input the distance to the object (L) and the angular size (α), and the tool will compute the linear size (D).

Angular Size

The Angular Size Calculator helps determine the apparent size of an object as seen from a specific distance. It is useful for astronomers, photographers, and anyone dealing with visual measurements. By inputting the object’s actual size and the distance to the observer, the calculator provides the angular size in degrees or arcminutes, helping assess how large the object will appear from a given viewpoint.

Distance Perspective Projection

This calculator estimates the angular size of an object as seen from a given distance, or conversely, calculates the distance required to achieve a specific angular size. It’s widely used in astronomy, photography, optics, and vision science to simulate how large an object appears to the observer depending on its real size and distance.

Cubic Equation

This cubic equation solver helps you find the roots of any third-degree polynomial of the form ax³ + bx² + cx + d = 0. Whether the equation has real or complex roots, the tool uses Cardano’s method to calculate accurate solutions instantly. It’s perfect for students, teachers, and professionals who need to solve cubic equations quickly and reliably.

Quadratic Equation

This calculator helps you quickly and accurately solve any quadratic equation of the form ax² + bx + c = 0. Ideal for students, teachers, and professionals, it uses the quadratic formula to find real or complex roots based on the discriminant.

Cubic Root

The Cubic Root Estimator helps you quickly approximate the cube root of any real number. It’s especially useful for students, engineers, and developers working with volume-based calculations or third-degree equations. Just input a number, and the estimator returns its cube root with speed and accuracy.

Leibniz Harmonic Triangle

This calculator generates values from the Leibniz Harmonic Triangle, a triangular array similar to Pascal’s Triangle, where each term is calculated using the formula aₙ,ₖ = 1 / k × C(n, k). It is useful in combinatorics and series expansions, especially involving harmonic numbers and integrals.

Angle Bisector

The Angle Bisector of Two Lines calculator determines the equations of the angle bisectors formed at the intersection of two lines. It’s useful for solving problems in analytical geometry, design, and computer graphics. Simply enter the coefficients of the two lines, and the calculator will compute both angle bisectors: the one that divides the acute angle and the one for the obtuse angle.

Proportion

This proportion calculator helps you find a missing value in a proportion of the form A/B = C/D. It’s useful for solving mathematical problems involving ratios, scaling, or cross-multiplication. Just input three known values, and the calculator will compute the fourth.

Eccentricity of an Ellipse

This calculator helps you determine the eccentricity (E) of an ellipse based on the values of its semi-major axis (a) and semi-minor axis (b). It’s useful in geometry, astronomy, and physics where ellipses describe orbits or shapes. Simply input the values, and the tool will compute how “elongated” the ellipse is.

Modulus of Complex Number

Use this calculator to quickly find the modulus (or absolute value) of any complex number in the form a + bi. It helps students, engineers, and mathematicians determine the magnitude of complex numbers for analysis, graphing, and calculations involving polar form. Just enter the real and imaginary parts and get the result instantly.

Complex Number

The Complex Number Calculator is a helpful tool for performing operations with complex numbers, such as addition, subtraction, multiplication, and division. It’s ideal for students, engineers, and anyone working with imaginary numbers in mathematics or physics. Just input the real and imaginary parts to instantly get the result of your selected operation.

Complex Number to Polar Form

This calculator converts a complex number from rectangular form (a + bi) into polar form (r∠θ or r(cos θ + i sin θ)). It’s useful for students, engineers, and anyone working with complex numbers in electrical engineering or mathematics. Simply enter the real and imaginary parts, and the calculator returns the magnitude and angle in degrees and radians.

Length of the Angle Bisector

The Length of the Angle Bisector calculator helps determine the length of the segment that divides an angle of a triangle into two equal parts. This tool is useful for students, architects, engineers, and geometry enthusiasts. It uses triangle side lengths and angle properties to quickly compute the bisector length with precision.

Floyd’s Triangle Sum

Use this calculator to find the sum of numbers in the n-th row of Floyd’s Triangle. It’s especially useful for math students and educators exploring number patterns. Just enter the row number and get the total instantly!

Linear Inequality

This linear inequality calculator helps you solve, simplify, and understand inequalities involving addition, subtraction, multiplication, or division. Ideal for students, teachers, and anyone studying algebra, it shows step-by-step solutions while also explaining how inequality rules change based on the operations and values involved.

Team Work Time

This calculator helps you find the total time required to complete a task when two team members work together. Ideal for project managers, engineers, students, and anyone coordinating shared tasks. Simply input the individual times each person would take to complete the task alone, and the calculator shows the combined work time.

Bernoulli Inequality

The Bernoulli Inequality calculator helps students and mathematicians verify the inequality (1 + x)^r \geq 1 + rx, which holds for real numbers x \geq -1 and integers r \geq 0. This tool is particularly useful for learning and validating mathematical proofs and concepts involving inequalities and exponential growth.

Cubic Equation

Discriminant Quadratic Equation

This calculator helps you determine the discriminant of a quadratic equation of the form ax² + bx + c = 0. It’s useful for students, teachers, and anyone working with algebra, as the discriminant indicates the nature and number of the equation’s roots.

Fibonacci Series

Easily generate the Fibonacci sequence up to any number of terms or a maximum value. This tool is helpful for students, teachers, and anyone curious about mathematical patterns. Just enter the number of terms or limit, and see the magic of Fibonacci in action!

Geometric Progression

This calculator helps you quickly find the n-th term of a geometric progression. It’s useful for students, teachers, and professionals dealing with mathematical series. Just input the first term, the common ratio, and the term number to get the result instantly.

Multiply Binomial

This calculator helps you multiply two binomials using algebraic expansion rules such as FOIL (First, Outer, Inner, Last). It’s ideal for students, teachers, and anyone learning or working with algebra to quickly simplify expressions like (x + 2)(x + 3).

Discriminant Quadratic Equation

Quartic Equation

This calculator helps you find the real and complex roots of a quartic (fourth-degree) polynomial equation of the form ax⁴ + bx³ + cx² + dx + e = 0. It’s useful for students, engineers, and anyone dealing with algebraic equations. Just enter the coefficients and get the exact roots instantly.

Stirling’s Factorial Approximation

Stirling’s Factorial Approximation calculator estimates the factorial of a large number using an efficient logarithmic formula. It’s especially useful in statistics, probability theory, and combinatorics when exact factorial values become too large to compute. This tool provides a fast and accurate approximation using Stirling’s formula.

Sum of Consecutive Cubes

This calculator helps you find the sum of the first n cube numbers quickly and accurately using the formula for consecutive cubes. It’s especially useful for students, teachers, and math enthusiasts looking to simplify complex summation problems without manual calculations.

Sum of Consecutive Squares

This calculator quickly finds the sum of squares of the first n natural numbers using a well-known mathematical formula. It’s ideal for students, teachers, and professionals who need to perform quick calculations in algebra, programming, or physics. Just enter any positive integer n to get the result instantly.

Sum of Two Cubes

This calculator helps you quickly compute the sum of two cubes using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2). It’s useful for algebra students, teachers, and anyone who needs to simplify or factor cube expressions. Just input the values for a and b, and the result is calculated instantly.

Triangle Inequality Checker

Vertex of Quadratic Equation

This calculator helps you find the vertex of a quadratic equation in standard form ax² + bx + c. It’s useful for students, teachers, and engineers working with parabolas, as it instantly identifies the highest or lowest point on the graph. Just input the coefficients a, b, and c to get the vertex in coordinate form.

Arithmetic Progression

The Arithmetic Progression calculator helps you find terms, sums, and other key values in a sequence where each term increases or decreases by a constant difference. It’s useful for students, teachers, and anyone dealing with number patterns in math, finance, or everyday problem solving.

3D Vector Magnitude

The 3D Vector Magnitude calculator helps you find the length or magnitude of a vector in three-dimensional space based on its x, y, and z components. It’s a handy tool for students, engineers, and professionals working with physics or 3D graphics. Just input the values for each axis, and it instantly calculates the vector’s magnitude.

3D Vector Scalar Product

The 3D Vector Scalar Product calculator helps you find the dot product (scalar product) of two three-dimensional vectors. It’s useful in physics, engineering, and computer graphics to measure how much two vectors align or to find the angle between them. Just input the components of both vectors and get the scalar result instantly.

2D Vector Subtraction

The 2D Vector Subtraction Calculator helps you quickly subtract one 2D vector from another. Ideal for students, engineers, and anyone working with vector operations in physics or mathematics, it simplifies the subtraction process by showing clear, step-by-step results.

2D Vector Scalar Product

The 2D Vector Scalar Product Calculator helps you compute the scalar (dot) product of two 2D vectors. This tool is useful for students, engineers, and anyone working with vector mathematics. It takes the x and y components of each vector and returns a single number representing their scalar product, which can indicate the angle relationship between them.

2D Vector Magnitude

The 2D Vector Magnitude Calculator helps you quickly find the length (or magnitude) of a two-dimensional vector using its X and Y components. Ideal for students, engineers, and anyone working with physics or geometry, this tool applies the Pythagorean theorem to deliver fast, accurate results.

2D Vector Angle

The 2D Vector Angle Calculator helps you find the angle between two vectors in a two-dimensional plane. This is useful in physics, computer graphics, and geometry when analyzing directions, forces, or movement paths. Just input the x and y components of both vectors, and the calculator will determine the angle between them in degrees.

2D Vector Addition

Easily calculate the sum of two 2D vectors using their x and y components. This calculator is ideal for students, engineers, and anyone working with vector mathematics. Just enter the coordinates of each vector, and get the resulting vector instantly.