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What is the Square Root of 16009?

The square root of 16009 is 126.526677029. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16009 = 126.526677029
CalculatedNon-perfect squareIrrational
Exact form√16009
Perfect squareNo
Number typeIrrational
Verification126.5266770292 ≈ 16009

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How the answer is calculated

We solve x2 = 16009. The resulting value is x = 126.526677029.

Verification: 126.5266770292 ≈ 16009.

Simplified radical form

The square root of 16009 in simplified radical form is √16009.

There are no square factors that can be taken outside the radical, so √16009 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12615876
Upper or equal12716129

Nearby square roots

NumberSquare root
√16006126.5148212661
√16007126.5187733105
√16008126.5227252315
√16009126.526677029
√16010126.5306287031
√16011126.5345802538
√16012126.5385316811

Number properties

Is 16009 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16009 is irrational because 16009 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 16009.