Square root of 6748

The square root of 6748 is 82.146211 (rounded to 6 decimal places). In simplest radical form it is 2√1687.

Square root of 6748

Pick any whole number from 1 to 10,000.

\sqrt{6748} = 2\sqrt{1687} \approx 82.146211

How to work it out

1
The square root of 6748 is the number that multiplied by itself gives 6748.
2
6748 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: 6748 = 4 × 1687, so
$\sqrt{6748} = \sqrt{4 \times 1687} = 2\sqrt{1687}$
4
A calculator, or long division of digits, gives
$\sqrt{6748} \approx 82.146211$

LaTeX source of the formulas on this page

\[ \sqrt{6748} = 2\sqrt{1687} \approx 82.146211 \]
\[ \sqrt{6748} = \sqrt{4 \times 1687} = 2\sqrt{1687} \]
\[ \sqrt{6748} \approx 82.146211 \]

What is the square root of 6748?

The square root of 6748 is 82.146211 (rounded to 6 decimal places). In simplest radical form it is 2√1687.

Is 6748 a perfect square?

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

What is 6748 squared?

6748 × 6748 = 45535504.

What is the square root of 6748 rounded to 2 decimals?

82.15.