🔢 Math Calculators

Convert between miles, kilometres and metres

Calculate the midpoint ((x₁+x₂)/2, (y₁+y₂)/2) between two points

Approximate π using circle measurements and Buffon's needle experiment

Find the missing side of a right triangle from the other two using a² + b² = c²

Evaluate J_n(x) and I_n(x) Bessel functions for integer order and real argument using power series

Evaluate the Gamma function Γ(x) for a real or complex argument, including poles and exact special values

Evaluate erf(x), erfc(x) and their inverses with domain validation

Evaluate sinh, cosh, tanh, coth, sech, csch and their inverses with domain validation

Calculate any integer power of the imaginary unit i using the mod-4 cycle

Calculate square roots with perfect square check and both real roots

Find the conjugate of z = a + bi with z × z̄ and modulus squared

Find all n-th roots of a complex number in polar and rectangular form, shown on a circle

Add, subtract, multiply, divide complex numbers and find polar form, modulus, argument and conjugate

Simplify radical expressions and find decimal approximation

Add, subtract, multiply (Hamilton product), conjugate, invert, divide quaternions and rotate a vector

Calculate cube roots including negative numbers and perfect cube check

Rationalize radical or irrational denominators step by step, see conjugate and simplified result

Calculate the result of base raised to an exponent

Calculate total subsets, proper subsets, and the number of k-element subsets C(n,k)

Calculate union, intersection, difference, and symmetric difference for finite sets

Build the truth table for a boolean expression with NOT, AND, OR, XOR, NAND, NOR, XNOR, IMPLIES

Generate set-builder notation from an interval and condition, compile finite rosters

List all subsets of a set, grouped by subset size

Convert between infix, prefix, and postfix notation in all six directions

Generate random integers or decimals within a specified range

Generate normal magic squares for odd n (3,5,7,9) and doubly-even n (4,8), see sums and magic constant

Calculate ceiling, floor and trunc of a number with explanation for negative values