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What is the Square Root of 18321?

The square root of 18321 is 135.3550885634. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18321 = 135.3550885634
CalculatedNon-perfect squareIrrational
Exact form√18321
Perfect squareNo
Number typeIrrational
Verification135.35508856342 ≈ 18321

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How the answer is calculated

We solve x2 = 18321. The resulting value is x = 135.3550885634.

Verification: 135.35508856342 ≈ 18321.

Simplified radical form

The square root of 18321 in simplified radical form is √18321.

There are no square factors that can be taken outside the radical, so √18321 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18318135.3440061473
√18319135.3477003868
√18320135.3513945255
√18321135.3550885634
√18322135.3587825004
√18323135.3624763367
√18324135.3661700721

Number properties

Is 18321 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18321 is irrational because 18321 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 18321.