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What is the Square Root of 492?

The square root of 492 is 22.1810730128. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√492 = 22.1810730128
CalculatedNon-perfect squareIrrational
Exact form√492
Perfect squareNo
Number typeIrrational
Verification22.18107301282 ≈ 492

On this page

How the answer is calculated

We solve x2 = 492. The resulting value is x = 22.1810730128.

Verification: 22.18107301282 ≈ 492.

Simplified radical form

The square root of 492 in simplified radical form is 2√123.

This is equivalent to √492, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√48922.1133443875
√49022.1359436212
√49122.1585198062
√49222.1810730128
√49322.2036033112
√49422.2261107709
√49522.2485954613

Number properties

Is 492 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√492 is irrational because 492 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 492.