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What is the Square Root of 13291?

The square root of 13291 is 115.2865993947. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13291 = 115.2865993947
CalculatedNon-perfect squareIrrational
Exact form√13291
Perfect squareNo
Number typeIrrational
Verification115.28659939472 ≈ 13291

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How the answer is calculated

We solve x2 = 13291. The resulting value is x = 115.2865993947.

Verification: 115.28659939472 ≈ 13291.

Simplified radical form

The square root of 13291 in simplified radical form is √13291.

There are no square factors that can be taken outside the radical, so √13291 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13288115.2735876079
√13289115.2779250334
√13290115.2822622956
√13291115.2865993947
√13292115.2909363307
√13293115.2952731035
√13294115.2996097131

Number properties

Is 13291 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13291 is irrational because 13291 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 13291.