Skip to content
clkr

Loading tools…

    Square Root Calculator

    Calculate square roots, cube roots and any nth root with this free online square root calculator, with simplified radical form like √72 = 6√2.

    Loading…

    Found it useful? Share Square Root Calculator

    Free, no sign-up, works in the browser — send it to a friend or add it to your site.

    Related tools

    Part of the toolkit

    How to use Square Root Calculator

    1. 1Type the number you want the root of
    2. 2Choose square root, cube root or enter any root index from 2 to 20
    3. 3Read the exact answer for perfect powers, or the decimal plus the simplified radical form, and copy it

    Frequently asked questions

    How do you simplify a square root?▾

    Pull out the largest perfect-square factor: √72 = √(36 × 2) = 6√2. The same works for cube roots with perfect cubes: ∛54 = ∛(27 × 2) = 3∛2.

    What is the square root of a negative number?▾

    It isn't a real number. √−9 = 3i, where i is the imaginary unit (i² = −1). Odd roots of negatives are real: ∛−8 = −2.

    What is a perfect square?▾

    A number whose square root is a whole number, like 1, 4, 9, 16, 25 or 144. The calculator tells you when a number is a perfect square, cube or higher power.

    What is the square root of 2?▾

    √2 ≈ 1.41421356237. It is irrational, so its decimal digits never end or repeat.

    Embed Square Root Calculator on your website▾

    Paste this snippet into your page. The embedded tool runs in your visitor's browser and shows a small “Powered by clkr.work” link.