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Root Calculator

Calculate square roots, cube roots, and any real nth root, including negative radicands for odd roots.

Square Root Calculator

ExampleSample values — edit any field to see your result.

Results update as you type.

Root

√81 = 9

Estimated result

Decimal Result
9
Exponent Form
81^(1/2)
Check
9^2 = 81
Root√81 = 9

Choose square root, cube root, or general nth root. Each result includes decimal and exponent forms plus a power check.

Formula

The nth root of x is x^(1/n). Square root uses n = 2 and cube root uses n = 3.

Examples

Three exact roots

√81 = 9, ∛27 = 3, and the fifth root of 32 is 2 because 2⁵ = 32.

Frequently asked questions

What is an nth root?
The nth root of a number x is a value r such that r raised to the nth power equals x.
Can I find cube roots of negative numbers?
Yes. Odd-degree roots of negative numbers are real; for example, the cube root of -27 is -3.
Why is an even root of a negative number rejected?
No real number raised to an even power is negative. Such roots require complex numbers, which this real-root calculator does not display.
How are roots related to exponents?
The nth root of x can be written as x raised to the power 1/n.

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