What is the Square Root of 342?

The square root of 342 is 18.4932420089. Calculate another value or review the exact form, nearby perfect powers, and verification.

Answer

Square Root√342 = 18.4932420089
CalculatedNon-perfect squareIrrational
Exact form√342
Perfect squareNo
Number typeIrrational
Verification18.49324200892 ≈ 342

On this page

How the answer is calculated

We solve x2 = 342. The resulting value is x = 18.4932420089.

Verification: 18.49324200892 ≈ 342.

Simplified radical form

The square root of 342 in simplified radical form is 3√38.

This is equivalent to √342, with perfect-square factors moved outside the radical.

Nearest Perfect squares

PositionBaseValue
Lower or equal18324
Upper or equal19361

Nearby square roots

NumberSquare root
√33918.4119526395
√34018.4390889146
√34118.4661853126
√34218.4932420089
√34318.5202591775
√34418.547236991
√34518.574175621

Number properties

Is 342 a perfect square?

No. Its square root is not a whole number.

Is the square root rational or irrational?

√342 is irrational because 342 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 342.