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What is the Square Root of 13357?

The square root of 13357 is 115.5724880757. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13357 = 115.5724880757
CalculatedNon-perfect squareIrrational
Exact form√13357
Perfect squareNo
Number typeIrrational
Verification115.57248807572 ≈ 13357

On this page

How the answer is calculated

We solve x2 = 13357. The resulting value is x = 115.5724880757.

Verification: 115.57248807572 ≈ 13357.

Simplified radical form

The square root of 13357 in simplified radical form is 19√37.

This is equivalent to √13357, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13354115.5595084794
√13355115.5638351735
√13356115.5681617055
√13357115.5724880757
√13358115.5768142838
√13359115.5811403301
√13360115.5854662144

Number properties

Is 13357 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13357 is irrational because 13357 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 13357.