Square root of 6716

The square root of 6716 is 81.951205 (rounded to 6 decimal places). In simplest radical form it is 2√1679.

Square root of 6716

Pick any whole number from 1 to 10,000.

\sqrt{6716} = 2\sqrt{1679} \approx 81.951205

How to work it out

1
The square root of 6716 is the number that multiplied by itself gives 6716.
2
6716 is between the perfect squares 81² = 6561 and 82² = 6724, so its square root is between 81 and 82.
3
Pull out the biggest square factor: 6716 = 4 × 1679, so
$\sqrt{6716} = \sqrt{4 \times 1679} = 2\sqrt{1679}$
4
A calculator, or long division of digits, gives
$\sqrt{6716} \approx 81.951205$

LaTeX source of the formulas on this page

\[ \sqrt{6716} = 2\sqrt{1679} \approx 81.951205 \]
\[ \sqrt{6716} = \sqrt{4 \times 1679} = 2\sqrt{1679} \]
\[ \sqrt{6716} \approx 81.951205 \]

What is the square root of 6716?

The square root of 6716 is 81.951205 (rounded to 6 decimal places). In simplest radical form it is 2√1679.

Is 6716 a perfect square?

No. It lies between 81² = 6561 and 82² = 6724.

What is 6716 squared?

6716 × 6716 = 45104656.

What is the square root of 6716 rounded to 2 decimals?

81.95.