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What is the Square Root of 502?

The square root of 502 is 22.4053565024. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√502 = 22.4053565024
CalculatedNon-perfect squareIrrational
Exact form√502
Perfect squareNo
Number typeIrrational
Verification22.40535650242 ≈ 502

On this page

How the answer is calculated

We solve x2 = 502. The resulting value is x = 22.4053565024.

Verification: 22.40535650242 ≈ 502.

Simplified radical form

The square root of 502 in simplified radical form is √502.

There are no square factors that can be taken outside the radical, so √502 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√49922.3383079037
√50022.360679775
√50122.3830292856
√50222.4053565024
√50322.427661492
√50422.4499443206
√50522.4722050542

Number properties

Is 502 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√502 is irrational because 502 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 502.