Square root of 6780

The square root of 6780 is 82.340755 (rounded to 6 decimal places). In simplest radical form it is 2√1695.

Square root of 6780

Pick any whole number from 1 to 10,000.

\sqrt{6780} = 2\sqrt{1695} \approx 82.340755

How to work it out

1
The square root of 6780 is the number that multiplied by itself gives 6780.
2
6780 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: 6780 = 4 × 1695, so
$\sqrt{6780} = \sqrt{4 \times 1695} = 2\sqrt{1695}$
4
A calculator, or long division of digits, gives
$\sqrt{6780} \approx 82.340755$

LaTeX source of the formulas on this page

\[ \sqrt{6780} = 2\sqrt{1695} \approx 82.340755 \]
\[ \sqrt{6780} = \sqrt{4 \times 1695} = 2\sqrt{1695} \]
\[ \sqrt{6780} \approx 82.340755 \]

What is the square root of 6780?

The square root of 6780 is 82.340755 (rounded to 6 decimal places). In simplest radical form it is 2√1695.

Is 6780 a perfect square?

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

What is 6780 squared?

6780 × 6780 = 45968400.

What is the square root of 6780 rounded to 2 decimals?

82.34.