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What is the Square Root of 323?

The square root of 323 is 17.9722007556. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√323 = 17.9722007556
CalculatedNon-perfect squareIrrational
Exact form√323
Perfect squareNo
Number typeIrrational
Verification17.97220075562 ≈ 323

On this page

How the answer is calculated

We solve x2 = 323. The resulting value is x = 17.9722007556.

Verification: 17.97220075562 ≈ 323.

Simplified radical form

The square root of 323 in simplified radical form is √323.

There are no square factors that can be taken outside the radical, so √323 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal17289
Upper or equal18324

Nearby square roots

NumberSquare root
√32017.88854382
√32117.9164728672
√32217.9443584449
√32317.9722007556
√32418
√32518.0277563773
√32618.0554700853

Number properties

Is 323 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√323 is irrational because 323 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 323.