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What is the Square Root of 481?

The square root of 481 is 21.9317121995. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√481 = 21.9317121995
CalculatedNon-perfect squareIrrational
Exact form√481
Perfect squareNo
Number typeIrrational
Verification21.93171219952 ≈ 481

On this page

How the answer is calculated

We solve x2 = 481. The resulting value is x = 21.9317121995.

Verification: 21.93171219952 ≈ 481.

Simplified radical form

The square root of 481 in simplified radical form is √481.

There are no square factors that can be taken outside the radical, so √481 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√47821.8632111091
√47921.8860686282
√48021.9089023002
√48121.9317121995
√48221.9544984001
√48321.9772609758
√48422

Number properties

Is 481 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√481 is irrational because 481 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 481.