Square root of 6944

The square root of 6944 is 83.330667 (rounded to 6 decimal places). In simplest radical form it is 4√434.

Square root of 6944

Pick any whole number from 1 to 10,000.

\sqrt{6944} = 4\sqrt{434} \approx 83.330667

How to work it out

1
The square root of 6944 is the number that multiplied by itself gives 6944.
2
6944 is between the perfect squares 83² = 6889 and 84² = 7056, so its square root is between 83 and 84.
3
Pull out the biggest square factor: 6944 = 16 × 434, so
$\sqrt{6944} = \sqrt{16 \times 434} = 4\sqrt{434}$
4
A calculator, or long division of digits, gives
$\sqrt{6944} \approx 83.330667$

LaTeX source of the formulas on this page

\[ \sqrt{6944} = 4\sqrt{434} \approx 83.330667 \]
\[ \sqrt{6944} = \sqrt{16 \times 434} = 4\sqrt{434} \]
\[ \sqrt{6944} \approx 83.330667 \]

What is the square root of 6944?

The square root of 6944 is 83.330667 (rounded to 6 decimal places). In simplest radical form it is 4√434.

Is 6944 a perfect square?

No. It lies between 83² = 6889 and 84² = 7056.

What is 6944 squared?

6944 × 6944 = 48219136.

What is the square root of 6944 rounded to 2 decimals?

83.33.