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What is the Square Root of 18291?

The square root of 18291 is 135.2442235365. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18291 = 135.2442235365
CalculatedNon-perfect squareIrrational
Exact form√18291
Perfect squareNo
Number typeIrrational
Verification135.24422353652 ≈ 18291

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How the answer is calculated

We solve x2 = 18291. The resulting value is x = 135.2442235365.

Verification: 135.24422353652 ≈ 18291.

Simplified radical form

The square root of 18291 in simplified radical form is √18291.

There are no square factors that can be taken outside the radical, so √18291 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18288135.233132035
√18289135.2368293033
√18290135.2405264704
√18291135.2442235365
√18292135.2479205016
√18293135.2516173656
√18294135.2553141285

Number properties

Is 18291 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18291 is irrational because 18291 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 18291.