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What is the Square Root of 16667?

The square root of 16667 is 129.1007358616. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16667 = 129.1007358616
CalculatedNon-perfect squareIrrational
Exact form√16667
Perfect squareNo
Number typeIrrational
Verification129.10073586162 ≈ 16667

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How the answer is calculated

We solve x2 = 16667. The resulting value is x = 129.1007358616.

Verification: 129.10073586162 ≈ 16667.

Simplified radical form

The square root of 16667 in simplified radical form is √16667.

There are no square factors that can be taken outside the radical, so √16667 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12916641
Upper or equal13016900

Nearby square roots

NumberSquare root
√16664129.0891165048
√16665129.09298974
√16666129.0968628589
√16667129.1007358616
√16668129.1046087481
√16669129.1084815185
√16670129.1123541726

Number properties

Is 16667 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16667 is irrational because 16667 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 16667.