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What is the Square Root of 422?

The square root of 422 is 20.5426385842. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√422 = 20.5426385842
CalculatedNon-perfect squareIrrational
Exact form√422
Perfect squareNo
Number typeIrrational
Verification20.54263858422 ≈ 422

On this page

How the answer is calculated

We solve x2 = 422. The resulting value is x = 20.5426385842.

Verification: 20.54263858422 ≈ 422.

Simplified radical form

The square root of 422 in simplified radical form is √422.

There are no square factors that can be taken outside the radical, so √422 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal20400
Upper or equal21441

Nearby square roots

NumberSquare root
√41920.4694894905
√42020.4939015319
√42120.5182845287
√42220.5426385842
√42320.5669638012
√42420.591260282
√42520.6155281281

Number properties

Is 422 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√422 is irrational because 422 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 422.