What is the Square Root of 132?

The square root of 132 is 11.4891252931. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√132 = 11.4891252931
CalculatedNon-perfect squareIrrational
Exact form√132
Perfect squareNo
Number typeIrrational
Verification11.48912529312 ≈ 132

On this page

How the answer is calculated

We solve x2 = 132. The resulting value is x = 11.4891252931.

Verification: 11.48912529312 ≈ 132.

Simplified radical form

The square root of 132 in simplified radical form is 2√33.

This is equivalent to √132, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11121
Upper or equal12144

Nearby square roots

NumberSquare root
√12911.3578166916
√13011.401754251
√13111.4455231423
√13211.4891252931
√13311.5325625947
√13411.5758369028
√13511.6189500386

Number properties

Is 132 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√132 is irrational because 132 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 132.