What is the Square Root of 1080?

The square root of 1080 is 32.8633534503. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1080 = 32.8633534503
CalculatedNon-perfect squareIrrational
Exact form√1080
Perfect squareNo
Number typeIrrational
Verification32.86335345032 ≈ 1080

On this page

How the answer is calculated

We solve x2 = 1080. The resulting value is x = 32.8633534503.

Verification: 32.86335345032 ≈ 1080.

Simplified radical form

The square root of 1080 in simplified radical form is 6√30.

This is equivalent to √1080, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal321024
Upper or equal331089

Nearby square roots

NumberSquare root
√107732.8176781628
√107832.8329103188
√107932.8481354113
√108032.8633534503
√108132.8785644455
√108232.8937684068
√108332.9089653438

Number properties

Is 1080 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1080 is irrational because 1080 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 1080.