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What is the Square Root of 16825?

The square root of 16825 is 129.7112177107. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16825 = 129.7112177107
CalculatedNon-perfect squareIrrational
Exact form√16825
Perfect squareNo
Number typeIrrational
Verification129.71121771072 ≈ 16825

On this page

How the answer is calculated

We solve x2 = 16825. The resulting value is x = 129.7112177107.

Verification: 129.71121771072 ≈ 16825.

Simplified radical form

The square root of 16825 in simplified radical form is 5√673.

This is equivalent to √16825, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16822129.699653045
√16823129.7035080482
√16824129.7073629367
√16825129.7112177107
√16826129.7150723702
√16827129.7189269151
√16828129.7227813455

Number properties

Is 16825 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16825 is irrational because 16825 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 16825.