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What is the Square Root of 18249?

The square root of 18249 is 135.0888596443. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18249 = 135.0888596443
CalculatedNon-perfect squareIrrational
Exact form√18249
Perfect squareNo
Number typeIrrational
Verification135.08885964432 ≈ 18249

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How the answer is calculated

We solve x2 = 18249. The resulting value is x = 135.0888596443.

Verification: 135.08885964432 ≈ 18249.

Simplified radical form

The square root of 18249 in simplified radical form is √18249.

There are no square factors that can be taken outside the radical, so √18249 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13518225
Upper or equal13618496

Nearby square roots

NumberSquare root
√18246135.0777553856
√18247135.0814569066
√18248135.0851583261
√18249135.0888596443
√18250135.0925608611
√18251135.0962619764
√18252135.0999629904

Number properties

Is 18249 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18249 is irrational because 18249 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 18249.