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What is the Square Root of 466?

The square root of 466 is 21.5870331449. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√466 = 21.5870331449
CalculatedNon-perfect squareIrrational
Exact form√466
Perfect squareNo
Number typeIrrational
Verification21.58703314492 ≈ 466

On this page

How the answer is calculated

We solve x2 = 466. The resulting value is x = 21.5870331449.

Verification: 21.58703314492 ≈ 466.

Simplified radical form

The square root of 466 in simplified radical form is √466.

There are no square factors that can be taken outside the radical, so √466 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√46321.5174347914
√46421.5406592285
√46521.5638586528
√46621.5870331449
√46721.610182785
√46821.6333076528
√46921.6564078277

Number properties

Is 466 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√466 is irrational because 466 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 466.