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What is the Square Root of 133?

The square root of 133 is 11.5325625947. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√133 = 11.5325625947
CalculatedNon-perfect squareIrrational
Exact form√133
Perfect squareNo
Number typeIrrational
Verification11.53256259472 ≈ 133

On this page

How the answer is calculated

We solve x2 = 133. The resulting value is x = 11.5325625947.

Verification: 11.53256259472 ≈ 133.

Simplified radical form

The square root of 133 in simplified radical form is √133.

There are no square factors that can be taken outside the radical, so √133 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11121
Upper or equal12144

Nearby square roots

NumberSquare root
√13011.401754251
√13111.4455231423
√13211.4891252931
√13311.5325625947
√13411.5758369028
√13511.6189500386
√13611.6619037897

Number properties

Is 133 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√133 is irrational because 133 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 133.