Square root of 6345

The square root of 6345 is 79.655508 (rounded to 6 decimal places). In simplest radical form it is 3√705.

Square root of 6345

Pick any whole number from 1 to 10,000.

\sqrt{6345} = 3\sqrt{705} \approx 79.655508

How to work it out

1
The square root of 6345 is the number that multiplied by itself gives 6345.
2
6345 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: 6345 = 9 × 705, so
$\sqrt{6345} = \sqrt{9 \times 705} = 3\sqrt{705}$
4
A calculator, or long division of digits, gives
$\sqrt{6345} \approx 79.655508$

LaTeX source of the formulas on this page

\[ \sqrt{6345} = 3\sqrt{705} \approx 79.655508 \]
\[ \sqrt{6345} = \sqrt{9 \times 705} = 3\sqrt{705} \]
\[ \sqrt{6345} \approx 79.655508 \]

What is the square root of 6345?

The square root of 6345 is 79.655508 (rounded to 6 decimal places). In simplest radical form it is 3√705.

Is 6345 a perfect square?

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

What is 6345 squared?

6345 × 6345 = 40259025.

What is the square root of 6345 rounded to 2 decimals?

79.66.