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What is the Square Root of 13152?

The square root of 13152 is 114.6821694947. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√13152 = 114.6821694947
CalculatedNon-perfect squareIrrational
Exact form√13152
Perfect squareNo
Number typeIrrational
Verification114.68216949472 ≈ 13152

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How the answer is calculated

We solve x2 = 13152. The resulting value is x = 114.6821694947.

Verification: 114.68216949472 ≈ 13152.

Simplified radical form

The square root of 13152 in simplified radical form is 4√822.

This is equivalent to √13152, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal11412996
Upper or equal11513225

Nearby square roots

NumberSquare root
√13149114.6690891217
√13150114.6734494118
√13151114.6778095361
√13152114.6821694947
√13153114.6865292874
√13154114.6908889145
√13155114.6952483759

Number properties

Is 13152 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√13152 is irrational because 13152 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 13152.