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What is the Square Root of 16764?

The square root of 16764 is 129.4758664771. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16764 = 129.4758664771
CalculatedNon-perfect squareIrrational
Exact form√16764
Perfect squareNo
Number typeIrrational
Verification129.47586647712 ≈ 16764

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How the answer is calculated

We solve x2 = 16764. The resulting value is x = 129.4758664771.

Verification: 129.47586647712 ≈ 16764.

Simplified radical form

The square root of 16764 in simplified radical form is 2√4191.

This is equivalent to √16764, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16761129.4642807882
√16762129.4681427997
√16763129.472004696
√16764129.4758664771
√16765129.4797281431
√16766129.4835896938
√16767129.4874511294

Number properties

Is 16764 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16764 is irrational because 16764 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 16764.