What is the Square Root of 1134?

The square root of 1134 is 33.674916481. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1134 = 33.674916481
CalculatedNon-perfect squareIrrational
Exact form√1134
Perfect squareNo
Number typeIrrational
Verification33.6749164812 ≈ 1134

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How the answer is calculated

We solve x2 = 1134. The resulting value is x = 33.674916481.

Verification: 33.6749164812 ≈ 1134.

Simplified radical form

The square root of 1134 in simplified radical form is 9√14.

This is equivalent to √1134, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√113133.6303434416
√113233.6452076825
√113333.6600653594
√113433.674916481
√113533.6897610558
√113633.7045990927
√113733.7194306002

Number properties

Is 1134 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1134 is irrational because 1134 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 1134.