Square root of 6760

The square root of 6760 is 82.219219 (rounded to 6 decimal places). In simplest radical form it is 26√10.

Square root of 6760

Pick any whole number from 1 to 10,000.

\sqrt{6760} = 26\sqrt{10} \approx 82.219219

How to work it out

1
The square root of 6760 is the number that multiplied by itself gives 6760.
2
6760 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: 6760 = 676 × 10, so
$\sqrt{6760} = \sqrt{676 \times 10} = 26\sqrt{10}$
4
A calculator, or long division of digits, gives
$\sqrt{6760} \approx 82.219219$

LaTeX source of the formulas on this page

\[ \sqrt{6760} = 26\sqrt{10} \approx 82.219219 \]
\[ \sqrt{6760} = \sqrt{676 \times 10} = 26\sqrt{10} \]
\[ \sqrt{6760} \approx 82.219219 \]

What is the square root of 6760?

The square root of 6760 is 82.219219 (rounded to 6 decimal places). In simplest radical form it is 26√10.

Is 6760 a perfect square?

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

What is 6760 squared?

6760 × 6760 = 45697600.

What is the square root of 6760 rounded to 2 decimals?

82.22.