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What is the Square Root of 438?

The square root of 438 is 20.9284495365. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√438 = 20.9284495365
CalculatedNon-perfect squareIrrational
Exact form√438
Perfect squareNo
Number typeIrrational
Verification20.92844953652 ≈ 438

On this page

How the answer is calculated

We solve x2 = 438. The resulting value is x = 20.9284495365.

Verification: 20.92844953652 ≈ 438.

Simplified radical form

The square root of 438 in simplified radical form is √438.

There are no square factors that can be taken outside the radical, so √438 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal20400
Upper or equal21441

Nearby square roots

NumberSquare root
√43520.8566536146
√43620.8806130178
√43720.9045449604
√43820.9284495365
√43920.9523268398
√44020.9761769634
√44121

Number properties

Is 438 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√438 is irrational because 438 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 438.