What is the Square Root of 1164?

The square root of 1164 is 34.1174442185. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1164 = 34.1174442185
CalculatedNon-perfect squareIrrational
Exact form√1164
Perfect squareNo
Number typeIrrational
Verification34.11744421852 ≈ 1164

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How the answer is calculated

We solve x2 = 1164. The resulting value is x = 34.1174442185.

Verification: 34.11744421852 ≈ 1164.

Simplified radical form

The square root of 1164 in simplified radical form is 2√291.

This is equivalent to √1164, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√116134.0734500748
√116234.0881210981
√116334.10278581
√116434.1174442185
√116534.1320963318
√116634.1467421579
√116734.1613817051

Number properties

Is 1164 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1164 is irrational because 1164 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 1164.