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What is the Square Root of 18240?

The square root of 18240 is 135.0555441291. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18240 = 135.0555441291
CalculatedNon-perfect squareIrrational
Exact form√18240
Perfect squareNo
Number typeIrrational
Verification135.05554412912 ≈ 18240

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How the answer is calculated

We solve x2 = 18240. The resulting value is x = 135.0555441291.

Verification: 135.05554412912 ≈ 18240.

Simplified radical form

The square root of 18240 in simplified radical form is 8√285.

This is equivalent to √18240, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18237135.0444371309
√18238135.0481395651
√18239135.0518418978
√18240135.0555441291
√18241135.0592462588
√18242135.0629482871
√18243135.0666502139

Number properties

Is 18240 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18240 is irrational because 18240 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 18240.