Enter a non-negative number to find its square root and, if it isn't a perfect square, its simplified radical form.
How to Use the Square Root Calculator
Type the number into the field and everything updates at once — no separate mode to pick, no button to press first.
The site's Root Calculator handles any degree: cube roots, fourth roots, whatever you set n to. This one stays narrow on purpose, locked to square roots specifically, because square roots get a feature the general version doesn't need — simplifying the radical, which is specifically an algebra-class convention for square roots and doesn't carry over the same way to higher-order roots.
√72 = √(36 × 2) = 6√236 is the largest perfect square that divides evenly into 72, and √36 pulls out cleanly as 6, leaving √2 behind under the radical. The calculator finds that largest perfect-square factor by checking 4, 9, 16, 25, and onward until it finds the biggest one that fits, then reports the answer as coefficient times root, the way a textbook would write it.
Perfect squares skip that step entirely — √49 is just 7, nothing left under a radical, and the calculator flags it as a perfect square rather than showing a pointless simplified form.
Negative numbers aren't accepted here. Square roots of negative numbers aren't real numbers — no real number squares to a negative result — so there's no answer to hand back. For that case, the site's Complex Numbers Calculator is where you'd go instead.