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What is the Square Root of 487?

The square root of 487 is 22.0680764907. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√487 = 22.0680764907
CalculatedNon-perfect squareIrrational
Exact form√487
Perfect squareNo
Number typeIrrational
Verification22.06807649072 ≈ 487

On this page

How the answer is calculated

We solve x2 = 487. The resulting value is x = 22.0680764907.

Verification: 22.06807649072 ≈ 487.

Simplified radical form

The square root of 487 in simplified radical form is √487.

There are no square factors that can be taken outside the radical, so √487 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal22484
Upper or equal23529

Nearby square roots

NumberSquare root
√48422
√48522.0227155455
√48622.045407685
√48722.0680764907
√48822.0907220344
√48922.1133443875
√49022.1359436212

Number properties

Is 487 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√487 is irrational because 487 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 487.