Square root of 336

The square root of 336 is 18.330303 (rounded to 6 decimal places). In simplest radical form it is 4√21.

Square root of 336

Pick any whole number from 1 to 10,000.

\sqrt{336} = 4\sqrt{21} \approx 18.330303

How to work it out

1
The square root of 336 is the number that multiplied by itself gives 336.
2
336 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: 336 = 16 × 21, so
$\sqrt{336} = \sqrt{16 \times 21} = 4\sqrt{21}$
4
A calculator, or long division of digits, gives
$\sqrt{336} \approx 18.330303$

LaTeX source of the formulas on this page

\[ \sqrt{336} = 4\sqrt{21} \approx 18.330303 \]
\[ \sqrt{336} = \sqrt{16 \times 21} = 4\sqrt{21} \]
\[ \sqrt{336} \approx 18.330303 \]

What is the square root of 336?

The square root of 336 is 18.330303 (rounded to 6 decimal places). In simplest radical form it is 4√21.

Is 336 a perfect square?

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

What is 336 squared?

336 × 336 = 112896.

What is the square root of 336 rounded to 2 decimals?

18.33.