What is the Square Root of 1162?

The square root of 1162 is 34.0881210981. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1162 = 34.0881210981
CalculatedNon-perfect squareIrrational
Exact form√1162
Perfect squareNo
Number typeIrrational
Verification34.08812109812 ≈ 1162

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How the answer is calculated

We solve x2 = 1162. The resulting value is x = 34.0881210981.

Verification: 34.08812109812 ≈ 1162.

Simplified radical form

The square root of 1162 in simplified radical form is √1162.

There are no square factors that can be taken outside the radical, so √1162 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√115934.0440890611
√116034.0587727319
√116134.0734500748
√116234.0881210981
√116334.10278581
√116434.1174442185
√116534.1320963318

Number properties

Is 1162 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1162 is irrational because 1162 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 1162.