Square root of 6849

The square root of 6849 is 82.758685 (rounded to 6 decimal places). In simplest radical form it is 3√761.

Square root of 6849

Pick any whole number from 1 to 10,000.

\sqrt{6849} = 3\sqrt{761} \approx 82.758685

How to work it out

1
The square root of 6849 is the number that multiplied by itself gives 6849.
2
6849 is between the perfect squares 82² = 6724 and 83² = 6889, so its square root is between 82 and 83.
3
Pull out the biggest square factor: 6849 = 9 × 761, so
$\sqrt{6849} = \sqrt{9 \times 761} = 3\sqrt{761}$
4
A calculator, or long division of digits, gives
$\sqrt{6849} \approx 82.758685$

LaTeX source of the formulas on this page

\[ \sqrt{6849} = 3\sqrt{761} \approx 82.758685 \]
\[ \sqrt{6849} = \sqrt{9 \times 761} = 3\sqrt{761} \]
\[ \sqrt{6849} \approx 82.758685 \]

What is the square root of 6849?

The square root of 6849 is 82.758685 (rounded to 6 decimal places). In simplest radical form it is 3√761.

Is 6849 a perfect square?

No. It lies between 82² = 6724 and 83² = 6889.

What is 6849 squared?

6849 × 6849 = 46908801.

What is the square root of 6849 rounded to 2 decimals?

82.76.