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What is the Square Root of 16167?

The square root of 16167 is 127.1495182846. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√16167 = 127.1495182846
CalculatedNon-perfect squareIrrational
Exact form√16167
Perfect squareNo
Number typeIrrational
Verification127.14951828462 ≈ 16167

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How the answer is calculated

We solve x2 = 16167. The resulting value is x = 127.1495182846.

Verification: 127.14951828462 ≈ 16167.

Simplified radical form

The square root of 16167 in simplified radical form is √16167.

There are no square factors that can be taken outside the radical, so √16167 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal12716129
Upper or equal12816384

Nearby square roots

NumberSquare root
√16164127.1377206025
√16165127.1416532848
√16166127.1455858455
√16167127.1495182846
√16168127.153450602
√16169127.1573827979
√16170127.1613148721

Number properties

Is 16167 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√16167 is irrational because 16167 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 16167.