What is the Square Root of 1118?

The square root of 1118 is 33.4365069946. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1118 = 33.4365069946
CalculatedNon-perfect squareIrrational
Exact form√1118
Perfect squareNo
Number typeIrrational
Verification33.43650699462 ≈ 1118

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How the answer is calculated

We solve x2 = 1118. The resulting value is x = 33.4365069946.

Verification: 33.43650699462 ≈ 1118.

Simplified radical form

The square root of 1118 in simplified radical form is √1118.

There are no square factors that can be taken outside the radical, so √1118 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√111533.3916157141
√111633.406586177
√111733.4215499341
√111833.4365069946
√111933.4514573674
√112033.4664010614
√112133.4813380856

Number properties

Is 1118 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1118 is irrational because 1118 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 1118.