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What is the Square Root of 13792?

The square root of 13792 is 117.4393460472. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13792 = 117.4393460472
CalculatedNon-perfect squareIrrational
Exact form√13792
Perfect squareNo
Number typeIrrational
Verification117.43934604722 ≈ 13792

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How the answer is calculated

We solve x2 = 13792. The resulting value is x = 117.4393460472.

Verification: 117.43934604722 ≈ 13792.

Simplified radical form

The square root of 13792 in simplified radical form is 4√862.

This is equivalent to √13792, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11713689
Upper or equal11813924

Nearby square roots

NumberSquare root
√13789117.4265728019
√13790117.4308307047
√13791117.4350884532
√13792117.4393460472
√13793117.443603487
√13794117.4478607723
√13795117.4521179034

Number properties

Is 13792 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13792 is irrational because 13792 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 13792.