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What is the Square Root of 16171?

The square root of 16171 is 127.1652468248. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16171 = 127.1652468248
CalculatedNon-perfect squareIrrational
Exact form√16171
Perfect squareNo
Number typeIrrational
Verification127.16524682482 ≈ 16171

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How the answer is calculated

We solve x2 = 16171. The resulting value is x = 127.1652468248.

Verification: 127.16524682482 ≈ 16171.

Simplified radical form

The square root of 16171 in simplified radical form is √16171.

There are no square factors that can be taken outside the radical, so √16171 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16168127.153450602
√16169127.1573827979
√16170127.1613148721
√16171127.1652468248
√16172127.1691786558
√16173127.1731103654
√16174127.1770419533

Number properties

Is 16171 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16171 is irrational because 16171 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 16171.