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What is the Square Root of 16829?

The square root of 16829 is 129.7266356613. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16829 = 129.7266356613
CalculatedNon-perfect squareIrrational
Exact form√16829
Perfect squareNo
Number typeIrrational
Verification129.72663566132 ≈ 16829

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How the answer is calculated

We solve x2 = 16829. The resulting value is x = 129.7266356613.

Verification: 129.72663566132 ≈ 16829.

Simplified radical form

The square root of 16829 in simplified radical form is √16829.

There are no square factors that can be taken outside the radical, so √16829 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16826129.7150723702
√16827129.7189269151
√16828129.7227813455
√16829129.7266356613
√16830129.7304898626
√16831129.7343439495
√16832129.7381979218

Number properties

Is 16829 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16829 is irrational because 16829 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 16829.