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What is the Square Root of 16267?

The square root of 16267 is 127.5421498956. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16267 = 127.5421498956
CalculatedNon-perfect squareIrrational
Exact form√16267
Perfect squareNo
Number typeIrrational
Verification127.54214989562 ≈ 16267

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How the answer is calculated

We solve x2 = 16267. The resulting value is x = 127.5421498956.

Verification: 127.54214989562 ≈ 16267.

Simplified radical form

The square root of 16267 in simplified radical form is √16267.

There are no square factors that can be taken outside the radical, so √16267 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16264127.5303885354
√16265127.5343091094
√16266127.5382295627
√16267127.5421498956
√16268127.546070108
√16269127.5499901999
√16270127.5539101713

Number properties

Is 16267 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16267 is irrational because 16267 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 16267.