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What is the Square Root of 13307?

The square root of 13307 is 115.3559708034. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13307 = 115.3559708034
CalculatedNon-perfect squareIrrational
Exact form√13307
Perfect squareNo
Number typeIrrational
Verification115.35597080342 ≈ 13307

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How the answer is calculated

We solve x2 = 13307. The resulting value is x = 115.3559708034.

Verification: 115.35597080342 ≈ 13307.

Simplified radical form

The square root of 13307 in simplified radical form is √13307.

There are no square factors that can be taken outside the radical, so √13307 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13304115.3429668424
√13305115.3473016589
√13306115.3516363126
√13307115.3559708034
√13308115.3603051314
√13309115.3646392964
√13310115.3689732987

Number properties

Is 13307 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13307 is irrational because 13307 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 13307.