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What is the Square Root of 338?

The square root of 338 is 18.3847763109. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√338 = 18.3847763109
CalculatedNon-perfect squareIrrational
Exact form√338
Perfect squareNo
Number typeIrrational
Verification18.38477631092 ≈ 338

On this page

How the answer is calculated

We solve x2 = 338. The resulting value is x = 18.3847763109.

Verification: 18.38477631092 ≈ 338.

Simplified radical form

The square root of 338 in simplified radical form is 13√2.

This is equivalent to √338, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√33518.3030052177
√33618.3303027798
√33718.3575597507
√33818.3847763109
√33918.4119526395
√34018.4390889146
√34118.4661853126

Number properties

Is 338 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√338 is irrational because 338 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 338.