Square root of 342

The square root of 342 is 18.493242 (rounded to 6 decimal places). In simplest radical form it is 3√38.

Square root of 342

Pick any whole number from 1 to 10,000.

\sqrt{342} = 3\sqrt{38} \approx 18.493242

How to work it out

1
The square root of 342 is the number that multiplied by itself gives 342.
2
342 is between the perfect squares 18² = 324 and 19² = 361, so its square root is between 18 and 19.
3
Pull out the biggest square factor: 342 = 9 × 38, so
$\sqrt{342} = \sqrt{9 \times 38} = 3\sqrt{38}$
4
A calculator, or long division of digits, gives
$\sqrt{342} \approx 18.493242$

LaTeX source of the formulas on this page

\[ \sqrt{342} = 3\sqrt{38} \approx 18.493242 \]
\[ \sqrt{342} = \sqrt{9 \times 38} = 3\sqrt{38} \]
\[ \sqrt{342} \approx 18.493242 \]

What is the square root of 342?

The square root of 342 is 18.493242 (rounded to 6 decimal places). In simplest radical form it is 3√38.

Is 342 a perfect square?

No. It lies between 18² = 324 and 19² = 361.

What is 342 squared?

342 × 342 = 116964.

What is the square root of 342 rounded to 2 decimals?

18.49.