Square root of 6850

The square root of 6850 is 82.764727 (rounded to 6 decimal places). In simplest radical form it is 5√274.

Square root of 6850

Pick any whole number from 1 to 10,000.

\sqrt{6850} = 5\sqrt{274} \approx 82.764727

How to work it out

1
The square root of 6850 is the number that multiplied by itself gives 6850.
2
6850 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: 6850 = 25 × 274, so
$\sqrt{6850} = \sqrt{25 \times 274} = 5\sqrt{274}$
4
A calculator, or long division of digits, gives
$\sqrt{6850} \approx 82.764727$

LaTeX source of the formulas on this page

\[ \sqrt{6850} = 5\sqrt{274} \approx 82.764727 \]
\[ \sqrt{6850} = \sqrt{25 \times 274} = 5\sqrt{274} \]
\[ \sqrt{6850} \approx 82.764727 \]

What is the square root of 6850?

The square root of 6850 is 82.764727 (rounded to 6 decimal places). In simplest radical form it is 5√274.

Is 6850 a perfect square?

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

What is 6850 squared?

6850 × 6850 = 46922500.

What is the square root of 6850 rounded to 2 decimals?

82.76.