Square root of 6744

The square root of 6744 is 82.121861 (rounded to 6 decimal places). In simplest radical form it is 2√1686.

Square root of 6744

Pick any whole number from 1 to 10,000.

\sqrt{6744} = 2\sqrt{1686} \approx 82.121861

How to work it out

1
The square root of 6744 is the number that multiplied by itself gives 6744.
2
6744 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: 6744 = 4 × 1686, so
$\sqrt{6744} = \sqrt{4 \times 1686} = 2\sqrt{1686}$
4
A calculator, or long division of digits, gives
$\sqrt{6744} \approx 82.121861$

LaTeX source of the formulas on this page

\[ \sqrt{6744} = 2\sqrt{1686} \approx 82.121861 \]
\[ \sqrt{6744} = \sqrt{4 \times 1686} = 2\sqrt{1686} \]
\[ \sqrt{6744} \approx 82.121861 \]

What is the square root of 6744?

The square root of 6744 is 82.121861 (rounded to 6 decimal places). In simplest radical form it is 2√1686.

Is 6744 a perfect square?

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

What is 6744 squared?

6744 × 6744 = 45481536.

What is the square root of 6744 rounded to 2 decimals?

82.12.