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What is the Square Root of 20165?

The square root of 20165 is 142.0035210831. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√20165 = 142.0035210831
CalculatedNon-perfect squareIrrational
Exact form√20165
Perfect squareNo
Number typeIrrational
Verification142.00352108312 ≈ 20165

On this page

How the answer is calculated

We solve x2 = 20165. The resulting value is x = 142.0035210831.

Verification: 142.00352108312 ≈ 20165.

Simplified radical form

The square root of 20165 in simplified radical form is √20165.

There are no square factors that can be taken outside the radical, so √20165 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal14220164
Upper or equal14320449

Nearby square roots

NumberSquare root
√20162141.9929575718
√20163141.9964788296
√20164142
√20165142.0035210831
√20166142.0070420789
√20167142.0105629874
√20168142.0140838086

Number properties

Is 20165 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√20165 is irrational because 20165 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 20165.