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What is the Square Root of 1089?

The square root of 1089 is 33. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1089 = 33
ExactPerfect squareRational
Exact form33
Perfect squareYes
Number typeRational
Verification332 ≈ 1089

On this page

How the answer is calculated

We solve x2 = 1089. The resulting value is x = 33.

Verification: 332 ≈ 1089.

Simplified radical form

The square root of 1089 in simplified radical form is 33.

There are no square factors that can be taken outside the radical, so 33 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal331089

Nearby square roots

NumberSquare root
√108632.9545141066
√108732.9696830437
√108832.9848450049
√108933
√109033.0151480384
√109133.0302891298
√109233.0454232837

Number properties

Is 1089 a perfect square?

Yes. Its square root is the whole number 33.

Is the square root rational or irrational?

33 is rational because it is a whole number.

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 1089.