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What is the Square Root of 1153?

The square root of 1153 is 33.9558536927. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1153 = 33.9558536927
CalculatedNon-perfect squareIrrational
Exact form√1153
Perfect squareNo
Number typeIrrational
Verification33.95585369272 ≈ 1153

On this page

How the answer is calculated

We solve x2 = 1153. The resulting value is x = 33.9558536927.

Verification: 33.95585369272 ≈ 1153.

Simplified radical form

The square root of 1153 in simplified radical form is √1153.

There are no square factors that can be taken outside the radical, so √1153 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√115033.9116499156
√115133.9263909074
√115233.941125497
√115333.9558536927
√115433.9705755029
√115533.9852909359
√115634

Number properties

Is 1153 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1153 is irrational because 1153 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 1153.