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What is the Square Root of 341?

The square root of 341 is 18.4661853126. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√341 = 18.4661853126
CalculatedNon-perfect squareIrrational
Exact form√341
Perfect squareNo
Number typeIrrational
Verification18.46618531262 ≈ 341

On this page

How the answer is calculated

We solve x2 = 341. The resulting value is x = 18.4661853126.

Verification: 18.46618531262 ≈ 341.

Simplified radical form

The square root of 341 in simplified radical form is √341.

There are no square factors that can be taken outside the radical, so √341 is already in simplest radical form.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√33818.3847763109
√33918.4119526395
√34018.4390889146
√34118.4661853126
√34218.4932420089
√34318.5202591775
√34418.547236991

Number properties

Is 341 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√341 is irrational because 341 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 341.