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What is the Square Root of 1192?

The square root of 1192 is 34.5253530033. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1192 = 34.5253530033
CalculatedNon-perfect squareIrrational
Exact form√1192
Perfect squareNo
Number typeIrrational
Verification34.52535300332 ≈ 1192

On this page

How the answer is calculated

We solve x2 = 1192. The resulting value is x = 34.5253530033.

Verification: 34.52535300332 ≈ 1192.

Simplified radical form

The square root of 1192 in simplified radical form is 2√298.

This is equivalent to √1192, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal341156
Upper or equal351225

Nearby square roots

NumberSquare root
√118934.4818792991
√119034.4963766213
√119134.5108678535
√119234.5253530033
√119334.5398320783
√119434.5543050863
√119534.5687720349

Number properties

Is 1192 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1192 is irrational because 1192 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 1192.