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What is the Square Root of 13288?

The square root of 13288 is 115.2735876079. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13288 = 115.2735876079
CalculatedNon-perfect squareIrrational
Exact form√13288
Perfect squareNo
Number typeIrrational
Verification115.27358760792 ≈ 13288

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How the answer is calculated

We solve x2 = 13288. The resulting value is x = 115.2735876079.

Verification: 115.27358760792 ≈ 13288.

Simplified radical form

The square root of 13288 in simplified radical form is 2√3322.

This is equivalent to √13288, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13285115.2605743522
√13286115.2649122674
√13287115.2692500192
√13288115.2735876079
√13289115.2779250334
√13290115.2822622956
√13291115.2865993947

Number properties

Is 13288 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13288 is irrational because 13288 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 13288.