Square root of 308

The square root of 308 is 17.549929 (rounded to 6 decimal places). In simplest radical form it is 2√77.

Square root of 308

Pick any whole number from 1 to 10,000.

\sqrt{308} = 2\sqrt{77} \approx 17.549929

How to work it out

1
The square root of 308 is the number that multiplied by itself gives 308.
2
308 is between the perfect squares 17² = 289 and 18² = 324, so its square root is between 17 and 18.
3
Pull out the biggest square factor: 308 = 4 × 77, so
$\sqrt{308} = \sqrt{4 \times 77} = 2\sqrt{77}$
4
A calculator, or long division of digits, gives
$\sqrt{308} \approx 17.549929$

LaTeX source of the formulas on this page

\[ \sqrt{308} = 2\sqrt{77} \approx 17.549929 \]
\[ \sqrt{308} = \sqrt{4 \times 77} = 2\sqrt{77} \]
\[ \sqrt{308} \approx 17.549929 \]

What is the square root of 308?

The square root of 308 is 17.549929 (rounded to 6 decimal places). In simplest radical form it is 2√77.

Is 308 a perfect square?

No. It lies between 17² = 289 and 18² = 324.

What is 308 squared?

308 × 308 = 94864.

What is the square root of 308 rounded to 2 decimals?

17.55.