Square root of 6916

The square root of 6916 is 83.162492 (rounded to 6 decimal places). In simplest radical form it is 2√1729.

Square root of 6916

Pick any whole number from 1 to 10,000.

\sqrt{6916} = 2\sqrt{1729} \approx 83.162492

How to work it out

1
The square root of 6916 is the number that multiplied by itself gives 6916.
2
6916 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: 6916 = 4 × 1729, so
$\sqrt{6916} = \sqrt{4 \times 1729} = 2\sqrt{1729}$
4
A calculator, or long division of digits, gives
$\sqrt{6916} \approx 83.162492$

LaTeX source of the formulas on this page

\[ \sqrt{6916} = 2\sqrt{1729} \approx 83.162492 \]
\[ \sqrt{6916} = \sqrt{4 \times 1729} = 2\sqrt{1729} \]
\[ \sqrt{6916} \approx 83.162492 \]

What is the square root of 6916?

The square root of 6916 is 83.162492 (rounded to 6 decimal places). In simplest radical form it is 2√1729.

Is 6916 a perfect square?

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

What is 6916 squared?

6916 × 6916 = 47831056.

What is the square root of 6916 rounded to 2 decimals?

83.16.