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What is the Square Root of 16752?

The square root of 16752 is 129.4295174989. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16752 = 129.4295174989
CalculatedNon-perfect squareIrrational
Exact form√16752
Perfect squareNo
Number typeIrrational
Verification129.42951749892 ≈ 16752

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How the answer is calculated

We solve x2 = 16752. The resulting value is x = 129.4295174989.

Verification: 129.42951749892 ≈ 16752.

Simplified radical form

The square root of 16752 in simplified radical form is 4√1047.

This is equivalent to √16752, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16749129.4179276607
√16750129.4217910554
√16751129.4256543348
√16752129.4295174989
√16753129.4333805477
√16754129.4372434812
√16755129.4411062994

Number properties

Is 16752 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16752 is irrational because 16752 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 16752.