What is the Square Root of 116?

The square root of 116 is 10.7703296143. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√116 = 10.7703296143
CalculatedNon-perfect squareIrrational
Exact form√116
Perfect squareNo
Number typeIrrational
Verification10.77032961432 ≈ 116

On this page

How the answer is calculated

We solve x2 = 116. The resulting value is x = 10.7703296143.

Verification: 10.77032961432 ≈ 116.

Simplified radical form

The square root of 116 in simplified radical form is 2√29.

This is equivalent to √116, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10100
Upper or equal11121

Nearby square roots

NumberSquare root
√11310.6301458127
√11410.677078252
√11510.7238052948
√11610.7703296143
√11710.8166538264
√11810.8627804912
√11910.9087121146

Number properties

Is 116 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√116 is irrational because 116 is not a perfect square.

Visual guide

Square Root function graph

See how the result changes as the input moves across positive and negative values. Square roots are shown for non-negative inputs; cube roots continue through negative inputs.

Common questions

Frequently asked questions

It asks for the number that, when raised to the power of 2, equals 116.