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What is the Square Root of 13364?

The square root of 13364 is 115.6027681329. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13364 = 115.6027681329
CalculatedNon-perfect squareIrrational
Exact form√13364
Perfect squareNo
Number typeIrrational
Verification115.60276813292 ≈ 13364

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How the answer is calculated

We solve x2 = 13364. The resulting value is x = 115.6027681329.

Verification: 115.60276813292 ≈ 13364.

Simplified radical form

The square root of 13364 in simplified radical form is 2√3341.

This is equivalent to √13364, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11513225
Upper or equal11613456

Nearby square roots

NumberSquare root
√13361115.5897919368
√13362115.5941174974
√13363115.5984428961
√13364115.6027681329
√13365115.607093208
√13366115.6114181212
√13367115.6157428727

Number properties

Is 13364 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13364 is irrational because 13364 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 13364.