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What is the Square Root of 108?

The square root of 108 is 10.3923048454. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√108 = 10.3923048454
CalculatedNon-perfect squareIrrational
Exact form√108
Perfect squareNo
Number typeIrrational
Verification10.39230484542 ≈ 108

On this page

How the answer is calculated

We solve x2 = 108. The resulting value is x = 10.3923048454.

Verification: 10.39230484542 ≈ 108.

Simplified radical form

The square root of 108 in simplified radical form is 6√3.

This is equivalent to √108, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal10100
Upper or equal11121

Nearby square roots

NumberSquare root
√10510.246950766
√10610.295630141
√10710.3440804328
√10810.3923048454
√10910.4403065089
√11010.4880884817
√11110.5356537529

Number properties

Is 108 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√108 is irrational because 108 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 108.