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What is the Square Root of 18221?

The square root of 18221 is 134.9851843722. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18221 = 134.9851843722
CalculatedNon-perfect squareIrrational
Exact form√18221
Perfect squareNo
Number typeIrrational
Verification134.98518437222 ≈ 18221

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How the answer is calculated

We solve x2 = 18221. The resulting value is x = 134.9851843722.

Verification: 134.98518437222 ≈ 18221.

Simplified radical form

The square root of 18221 in simplified radical form is √18221.

There are no square factors that can be taken outside the radical, so √18221 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13417956
Upper or equal13518225

Nearby square roots

NumberSquare root
√18218134.9740715841
√18219134.9777759485
√18220134.9814802112
√18221134.9851843722
√18222134.9888884316
√18223134.9925923894
√18224134.9962962455

Number properties

Is 18221 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18221 is irrational because 18221 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 18221.