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What is the Square Root of 1172?

The square root of 1172 is 34.2344855372. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1172 = 34.2344855372
CalculatedNon-perfect squareIrrational
Exact form√1172
Perfect squareNo
Number typeIrrational
Verification34.23448553722 ≈ 1172

On this page

How the answer is calculated

We solve x2 = 1172. The resulting value is x = 34.2344855372.

Verification: 34.23448553722 ≈ 1172.

Simplified radical form

The square root of 1172 in simplified radical form is 2√293.

This is equivalent to √1172, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√116934.1906419946
√117034.205262753
√117134.2198772645
√117234.2344855372
√117334.2490875791
√117434.263683398
√117534.278273002

Number properties

Is 1172 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1172 is irrational because 1172 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 1172.