What is the Square Root of 18001?

The square root of 18001 is 134.1678053782. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18001 = 134.1678053782
CalculatedNon-perfect squareIrrational
Exact form√18001
Perfect squareNo
Number typeIrrational
Verification134.16780537822 ≈ 18001

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How the answer is calculated

We solve x2 = 18001. The resulting value is x = 134.1678053782.

Verification: 134.16780537822 ≈ 18001.

Simplified radical form

The square root of 18001 in simplified radical form is √18001.

There are no square factors that can be taken outside the radical, so √18001 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal13417956
Upper or equal13518225

Nearby square roots

NumberSquare root
√17998134.156624883
√17999134.1603518183
√18000134.16407865
√18001134.1678053782
√18002134.1715320029
√18003134.1752585241
√18004134.1789849418

Number properties

Is 18001 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18001 is irrational because 18001 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 18001.