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What is the Square Root of 1096?

The square root of 1096 is 33.1058907145. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1096 = 33.1058907145
CalculatedNon-perfect squareIrrational
Exact form√1096
Perfect squareNo
Number typeIrrational
Verification33.10589071452 ≈ 1096

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How the answer is calculated

We solve x2 = 1096. The resulting value is x = 33.1058907145.

Verification: 33.10589071452 ≈ 1096.

Simplified radical form

The square root of 1096 in simplified radical form is 2√274.

This is equivalent to √1096, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√109333.0605505096
√109433.0756708171
√109533.0907842155
√109633.1058907145
√109733.1209903234
√109833.1360830516
√109933.1511689085

Number properties

Is 1096 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1096 is irrational because 1096 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 1096.