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Square Root Calculator

Calculate square roots, cube roots and any nth root, simplify radicals like √72 = 6√2, and work out squares, cubes and powers. Free.

√72
8.48528137
Simplified radical
6√2
∛72
4.16016765
4√72
2.91295063
72²
5,184
72³
373,248
72^4
26,873,856

Roots, radicals and powers

Enter a number to see its square root, cube root and nth root, together with its square, cube and nth power. For whole numbers the calculator also simplifies the radical by taking out the largest perfect square: √72 = √(36 × 2) = 6√2, which is the form most maths classes ask for. Square roots of negative numbers are shown as imaginary numbers (√−9 = 3i), while odd roots of negatives are real: ∛−8 = −2.

How to use it

  1. 1

    Enter the number

    Whole numbers, decimals and negatives all work.

  2. 2

    Set n (optional)

    For a 4th root or a 4th power, for example.

  3. 3

    Read the results

    Roots, the simplified radical and powers.

Frequently asked questions

How do I simplify a square root?

Find the largest perfect square that divides the number. For √50: 50 = 25 × 2, so √50 = 5√2.

What is the square root of 2?

About 1.41421356. It's irrational, so its decimals never end or repeat.

Can a square root be negative?

Every positive number has two square roots, such as 3 and −3 for 9. The √ symbol means the positive one.

Is anything sent to a server?

No. Everything is calculated in your browser, and nothing you type is stored or sent anywhere.

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