What is the Square Root of 13552?

The square root of 13552 is 116.4130576868. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13552 = 116.4130576868
CalculatedNon-perfect squareIrrational
Exact form√13552
Perfect squareNo
Number typeIrrational
Verification116.41305768682 ≈ 13552

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How the answer is calculated

We solve x2 = 13552. The resulting value is x = 116.4130576868.

Verification: 116.41305768682 ≈ 13552.

Simplified radical form

The square root of 13552 in simplified radical form is 44√7.

This is equivalent to √13552, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11613456
Upper or equal11713689

Nearby square roots

NumberSquare root
√13549116.4001718212
√13550116.4044672682
√13551116.4087625568
√13552116.4130576868
√13553116.4173526584
√13554116.4216474716
√13555116.4259421263

Number properties

Is 13552 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13552 is irrational because 13552 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 13552.