Square root of 268

The square root of 268 is 16.370706 (rounded to 6 decimal places). In simplest radical form it is 2√67.

Square root of 268

Pick any whole number from 1 to 10,000.

\sqrt{268} = 2\sqrt{67} \approx 16.370706

How to work it out

1
The square root of 268 is the number that multiplied by itself gives 268.
2
268 is between the perfect squares 16² = 256 and 17² = 289, so its square root is between 16 and 17.
3
Pull out the biggest square factor: 268 = 4 × 67, so
$\sqrt{268} = \sqrt{4 \times 67} = 2\sqrt{67}$
4
A calculator, or long division of digits, gives
$\sqrt{268} \approx 16.370706$

LaTeX source of the formulas on this page

\[ \sqrt{268} = 2\sqrt{67} \approx 16.370706 \]
\[ \sqrt{268} = \sqrt{4 \times 67} = 2\sqrt{67} \]
\[ \sqrt{268} \approx 16.370706 \]

What is the square root of 268?

The square root of 268 is 16.370706 (rounded to 6 decimal places). In simplest radical form it is 2√67.

Is 268 a perfect square?

No. It lies between 16² = 256 and 17² = 289.

What is 268 squared?

268 × 268 = 71824.

What is the square root of 268 rounded to 2 decimals?

16.37.