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What is the Square Root of 328?

The square root of 328 is 18.1107702763. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√328 = 18.1107702763
CalculatedNon-perfect squareIrrational
Exact form√328
Perfect squareNo
Number typeIrrational
Verification18.11077027632 ≈ 328

On this page

How the answer is calculated

We solve x2 = 328. The resulting value is x = 18.1107702763.

Verification: 18.11077027632 ≈ 328.

Simplified radical form

The square root of 328 in simplified radical form is 2√82.

This is equivalent to √328, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√32518.0277563773
√32618.0554700853
√32718.08314132
√32818.1107702763
√32918.1383571472
√33018.1659021246
√33118.1934053987

Number properties

Is 328 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√328 is irrational because 328 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 328.