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What is the Square Root of 467?

The square root of 467 is 21.610182785. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√467 = 21.610182785
CalculatedNon-perfect squareIrrational
Exact form√467
Perfect squareNo
Number typeIrrational
Verification21.6101827852 ≈ 467

On this page

How the answer is calculated

We solve x2 = 467. The resulting value is x = 21.610182785.

Verification: 21.6101827852 ≈ 467.

Simplified radical form

The square root of 467 in simplified radical form is √467.

There are no square factors that can be taken outside the radical, so √467 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal21441
Upper or equal22484

Nearby square roots

NumberSquare root
√46421.5406592285
√46521.5638586528
√46621.5870331449
√46721.610182785
√46821.6333076528
√46921.6564078277
√47021.6794833887

Number properties

Is 467 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√467 is irrational because 467 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 467.