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What is the Square Root of 13337?

The square root of 13337 is 115.4859298789. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13337 = 115.4859298789
CalculatedNon-perfect squareIrrational
Exact form√13337
Perfect squareNo
Number typeIrrational
Verification115.48592987892 ≈ 13337

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How the answer is calculated

We solve x2 = 13337. The resulting value is x = 115.4859298789.

Verification: 115.48592987892 ≈ 13337.

Simplified radical form

The square root of 13337 in simplified radical form is √13337.

There are no square factors that can be taken outside the radical, so √13337 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13334115.4729405532
√13335115.4772704908
√13336115.481600266
√13337115.4859298789
√13338115.4902593295
√13339115.4945886178
√13340115.4989177438

Number properties

Is 13337 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13337 is irrational because 13337 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 13337.