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What is the Square Root of 480?

The square root of 480 is 21.9089023002. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√480 = 21.9089023002
CalculatedNon-perfect squareIrrational
Exact form√480
Perfect squareNo
Number typeIrrational
Verification21.90890230022 ≈ 480

On this page

How the answer is calculated

We solve x2 = 480. The resulting value is x = 21.9089023002.

Verification: 21.90890230022 ≈ 480.

Simplified radical form

The square root of 480 in simplified radical form is 4√30.

This is equivalent to √480, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√47721.8403296678
√47821.8632111091
√47921.8860686282
√48021.9089023002
√48121.9317121995
√48221.9544984001
√48321.9772609758

Number properties

Is 480 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√480 is irrational because 480 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 480.