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What is the Square Root of 1138?

The square root of 1138 is 33.7342555869. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1138 = 33.7342555869
CalculatedNon-perfect squareIrrational
Exact form√1138
Perfect squareNo
Number typeIrrational
Verification33.73425558692 ≈ 1138

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How the answer is calculated

We solve x2 = 1138. The resulting value is x = 33.7342555869.

Verification: 33.73425558692 ≈ 1138.

Simplified radical form

The square root of 1138 in simplified radical form is √1138.

There are no square factors that can be taken outside the radical, so √1138 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√113533.6897610558
√113633.7045990927
√113733.7194306002
√113833.7342555869
√113933.7490740614
√114033.7638860323
√114133.7786915081

Number properties

Is 1138 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1138 is irrational because 1138 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 1138.