Square root of 6741

The square root of 6741 is 82.103593 (rounded to 6 decimal places). In simplest radical form it is 3√749.

Square root of 6741

Pick any whole number from 1 to 10,000.

\sqrt{6741} = 3\sqrt{749} \approx 82.103593

How to work it out

1
The square root of 6741 is the number that multiplied by itself gives 6741.
2
6741 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: 6741 = 9 × 749, so
$\sqrt{6741} = \sqrt{9 \times 749} = 3\sqrt{749}$
4
A calculator, or long division of digits, gives
$\sqrt{6741} \approx 82.103593$

LaTeX source of the formulas on this page

\[ \sqrt{6741} = 3\sqrt{749} \approx 82.103593 \]
\[ \sqrt{6741} = \sqrt{9 \times 749} = 3\sqrt{749} \]
\[ \sqrt{6741} \approx 82.103593 \]

What is the square root of 6741?

The square root of 6741 is 82.103593 (rounded to 6 decimal places). In simplest radical form it is 3√749.

Is 6741 a perfect square?

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

What is 6741 squared?

6741 × 6741 = 45441081.

What is the square root of 6741 rounded to 2 decimals?

82.10.