What is the Square Root of 1093?

The square root of 1093 is 33.0605505096. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√1093 = 33.0605505096
CalculatedNon-perfect squareIrrational
Exact form√1093
Perfect squareNo
Number typeIrrational
Verification33.06055050962 ≈ 1093

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How the answer is calculated

We solve x2 = 1093. The resulting value is x = 33.0605505096.

Verification: 33.06055050962 ≈ 1093.

Simplified radical form

The square root of 1093 in simplified radical form is √1093.

There are no square factors that can be taken outside the radical, so √1093 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal331089
Upper or equal341156

Nearby square roots

NumberSquare root
√109033.0151480384
√109133.0302891298
√109233.0454232837
√109333.0605505096
√109433.0756708171
√109533.0907842155
√109633.1058907145

Number properties

Is 1093 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√1093 is irrational because 1093 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 1093.