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What is the Square Root of 16291?

The square root of 16291 is 127.6362017611. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16291 = 127.6362017611
CalculatedNon-perfect squareIrrational
Exact form√16291
Perfect squareNo
Number typeIrrational
Verification127.63620176112 ≈ 16291

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How the answer is calculated

We solve x2 = 16291. The resulting value is x = 127.6362017611.

Verification: 127.63620176112 ≈ 16291.

Simplified radical form

The square root of 16291 in simplified radical form is √16291.

There are no square factors that can be taken outside the radical, so √16291 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16288127.6244490684
√16289127.6283667529
√16290127.6322843171
√16291127.6362017611
√16292127.6401190849
√16293127.6440362884
√16294127.6479533718

Number properties

Is 16291 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16291 is irrational because 16291 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 16291.