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What is the Square Root of 13361?

The square root of 13361 is 115.5897919368. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13361 = 115.5897919368
CalculatedNon-perfect squareIrrational
Exact form√13361
Perfect squareNo
Number typeIrrational
Verification115.58979193682 ≈ 13361

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How the answer is calculated

We solve x2 = 13361. The resulting value is x = 115.5897919368.

Verification: 115.58979193682 ≈ 13361.

Simplified radical form

The square root of 13361 in simplified radical form is √13361.

There are no square factors that can be taken outside the radical, so √13361 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13358115.5768142838
√13359115.5811403301
√13360115.5854662144
√13361115.5897919368
√13362115.5941174974
√13363115.5984428961
√13364115.6027681329

Number properties

Is 13361 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13361 is irrational because 13361 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 13361.