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What is the Square Root of 16271?

The square root of 16271 is 127.5578300223. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16271 = 127.5578300223
CalculatedNon-perfect squareIrrational
Exact form√16271
Perfect squareNo
Number typeIrrational
Verification127.55783002232 ≈ 16271

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How the answer is calculated

We solve x2 = 16271. The resulting value is x = 127.5578300223.

Verification: 127.55783002232 ≈ 16271.

Simplified radical form

The square root of 16271 in simplified radical form is √16271.

There are no square factors that can be taken outside the radical, so √16271 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16268127.546070108
√16269127.5499901999
√16270127.5539101713
√16271127.5578300223
√16272127.5617497528
√16273127.5656693629
√16274127.5695888525

Number properties

Is 16271 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16271 is irrational because 16271 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 16271.