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What is the Square Root of 16824?

The square root of 16824 is 129.7073629367. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16824 = 129.7073629367
CalculatedNon-perfect squareIrrational
Exact form√16824
Perfect squareNo
Number typeIrrational
Verification129.70736293672 ≈ 16824

On this page

How the answer is calculated

We solve x2 = 16824. The resulting value is x = 129.7073629367.

Verification: 129.70736293672 ≈ 16824.

Simplified radical form

The square root of 16824 in simplified radical form is 2√4206.

This is equivalent to √16824, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16821129.6957979273
√16822129.699653045
√16823129.7035080482
√16824129.7073629367
√16825129.7112177107
√16826129.7150723702
√16827129.7189269151

Number properties

Is 16824 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16824 is irrational because 16824 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 16824.