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What is the Square Root of 473?

The square root of 473 is 21.7485631709. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√473 = 21.7485631709
CalculatedNon-perfect squareIrrational
Exact form√473
Perfect squareNo
Number typeIrrational
Verification21.74856317092 ≈ 473

On this page

How the answer is calculated

We solve x2 = 473. The resulting value is x = 21.7485631709.

Verification: 21.74856317092 ≈ 473.

Simplified radical form

The square root of 473 in simplified radical form is √473.

There are no square factors that can be taken outside the radical, so √473 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√47021.6794833887
√47121.7025344142
√47221.7255609824
√47321.7485631709
√47421.7715410571
√47521.7944947177
√47621.8174242293

Number properties

Is 473 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√473 is irrational because 473 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 473.