What is the Square Root of 18?

The square root of 18 is 4.2426406871. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√18 = 4.2426406871
CalculatedNon-perfect squareIrrational
Exact form√18
Perfect squareNo
Number typeIrrational
Verification4.24264068712 ≈ 18

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How the answer is calculated

We solve x2 = 18. The resulting value is x = 4.2426406871.

Verification: 4.24264068712 ≈ 18.

Simplified radical form

The square root of 18 in simplified radical form is 3√2.

This is equivalent to √18, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal416
Upper or equal525

Nearby square roots

NumberSquare root
√153.8729833462
√164
√174.1231056256
√184.2426406871
√194.3588989435
√204.472135955
√214.582575695

Number properties

Is 18 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√18 is irrational because 18 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 18.