What is the Square Root of 30427?

The square root of 30427 is 174.4333683674. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√30427 = 174.4333683674
CalculatedNon-perfect squareIrrational
Exact form√30427
Perfect squareNo
Number typeIrrational
Verification174.43336836742 ≈ 30427

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How the answer is calculated

We solve x2 = 30427. The resulting value is x = 174.4333683674.

Verification: 174.43336836742 ≈ 30427.

Simplified radical form

The square root of 30427 in simplified radical form is √30427.

There are no square factors that can be taken outside the radical, so √30427 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17430276
Upper or equal17530625

Nearby square roots

NumberSquare root
√30424174.4247688833
√30425174.4276354251
√30426174.4305019198
√30427174.4333683674
√30428174.4362347679
√30429174.4391011213
√30430174.4419674276

Number properties

Is 30427 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√30427 is irrational because 30427 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 30427.