Square Root Calculator

Calculate square roots, cube roots, and nth roots. Simplify radicals and identify perfect squares.

How to Calculate Roots

Find the root of any number. This calculator shows both exact and decimal results.

Find what number × itself = your number.

Find what number × itself × itself = your number.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225

To simplify √72:

Calculate percentages instantly. Find what percent of a number is, percentage increase/decrease, and more.

Add, subtract, multiply, and divide fractions. Get results as simplified fractions, mixed numbers, and decimals.

Calculate mean, median, mode, range, and standard deviation. Complete statistics for any data set.

Simplify ratios, solve proportions, and scale ratios. Convert between ratios, decimals, and percentages.

Calculate powers, roots, exponentials, and logarithms. Solve xⁿ, ⁿ√x, eˣ, and log expressions.

Full scientific calculator with trigonometry, logarithms, exponents, and memory functions.

What is a square root?

The square root of a number is a value that, when multiplied by itself, gives the original number. √16 = 4 because 4 × 4 = 16.

What is a perfect square?

A perfect square is a number whose square root is a whole number: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100...

Can you take the square root of a negative number?

Not in real numbers. The square root of a negative number is imaginary (involves i = √-1).

How do you simplify radicals?

Factor out perfect squares. √72 = √(36 × 2) = 6√2. Find the largest perfect square factor.