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What is the Square Root of 20167?

The square root of 20167 is 142.0105629874. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20167 = 142.0105629874
CalculatedNon-perfect squareIrrational
Exact form√20167
Perfect squareNo
Number typeIrrational
Verification142.01056298742 ≈ 20167

On this page

How the answer is calculated

We solve x2 = 20167. The resulting value is x = 142.0105629874.

Verification: 142.01056298742 ≈ 20167.

Simplified radical form

The square root of 20167 in simplified radical form is √20167.

There are no square factors that can be taken outside the radical, so √20167 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20164142
√20165142.0035210831
√20166142.0070420789
√20167142.0105629874
√20168142.0140838086
√20169142.0176045425
√20170142.0211251892

Number properties

Is 20167 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20167 is irrational because 20167 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 20167.