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What is the Square Root of 442?

The square root of 442 is 21.0237960416. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√442 = 21.0237960416
CalculatedNon-perfect squareIrrational
Exact form√442
Perfect squareNo
Number typeIrrational
Verification21.02379604162 ≈ 442

On this page

How the answer is calculated

We solve x2 = 442. The resulting value is x = 21.0237960416.

Verification: 21.02379604162 ≈ 442.

Simplified radical form

The square root of 442 in simplified radical form is √442.

There are no square factors that can be taken outside the radical, so √442 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√43920.9523268398
√44020.9761769634
√44121
√44221.0237960416
√44321.0475651798
√44421.0713075057
√44521.0950231097

Number properties

Is 442 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√442 is irrational because 442 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 442.