Square root of 6348

The square root of 6348 is 79.674337 (rounded to 6 decimal places). In simplest radical form it is 46√3.

Square root of 6348

Pick any whole number from 1 to 10,000.

\sqrt{6348} = 46\sqrt{3} \approx 79.674337

How to work it out

1
The square root of 6348 is the number that multiplied by itself gives 6348.
2
6348 is between the perfect squares 79² = 6241 and 80² = 6400, so its square root is between 79 and 80.
3
Pull out the biggest square factor: 6348 = 2116 × 3, so
$\sqrt{6348} = \sqrt{2116 \times 3} = 46\sqrt{3}$
4
A calculator, or long division of digits, gives
$\sqrt{6348} \approx 79.674337$

LaTeX source of the formulas on this page

\[ \sqrt{6348} = 46\sqrt{3} \approx 79.674337 \]
\[ \sqrt{6348} = \sqrt{2116 \times 3} = 46\sqrt{3} \]
\[ \sqrt{6348} \approx 79.674337 \]

What is the square root of 6348?

The square root of 6348 is 79.674337 (rounded to 6 decimal places). In simplest radical form it is 46√3.

Is 6348 a perfect square?

No. It lies between 79² = 6241 and 80² = 6400.

What is 6348 squared?

6348 × 6348 = 40297104.

What is the square root of 6348 rounded to 2 decimals?

79.67.