Square Root Calculator

Calculate square roots, identify perfect squares, simplify radicals and see decimal approximations with clear steps.

Square root calculator with radical notation and root examples

Use this square root calculator when you want the radical bar to grow with the expression inside it.

It supports simple roots like sqrt(144), cube roots such as \sqrt[3]{8}, and larger expressions such as roots inside fractions or powers.

Learn the concept

Try these examples

  • \sqrt{144}
  • \sqrt{225}
  • \sqrt{1+3^2}

Quick reference

  • √(ab) = √a × √b for non-negative a and b.
  • √(k²m) = |k|√m.
  • The principal square root is always non-negative.

FAQ

How do I type a square root?

Type sqrt or use the root button. The calculator inserts a 2D radical structure.

Can I put a fraction inside a square root?

Yes. Fractions, powers, constants, and functions can be placed inside the root.

Sources and review

Last reviewed:

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