Square root of 6956

The square root of 6956 is 83.402638 (rounded to 6 decimal places). In simplest radical form it is 2√1739.

Square root of 6956

Pick any whole number from 1 to 10,000.

\sqrt{6956} = 2\sqrt{1739} \approx 83.402638

How to work it out

1
The square root of 6956 is the number that multiplied by itself gives 6956.
2
6956 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: 6956 = 4 × 1739, so
$\sqrt{6956} = \sqrt{4 \times 1739} = 2\sqrt{1739}$
4
A calculator, or long division of digits, gives
$\sqrt{6956} \approx 83.402638$

LaTeX source of the formulas on this page

\[ \sqrt{6956} = 2\sqrt{1739} \approx 83.402638 \]
\[ \sqrt{6956} = \sqrt{4 \times 1739} = 2\sqrt{1739} \]
\[ \sqrt{6956} \approx 83.402638 \]

What is the square root of 6956?

The square root of 6956 is 83.402638 (rounded to 6 decimal places). In simplest radical form it is 2√1739.

Is 6956 a perfect square?

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

What is 6956 squared?

6956 × 6956 = 48385936.

What is the square root of 6956 rounded to 2 decimals?

83.40.