Square root of 6375

The square root of 6375 is 79.843597 (rounded to 6 decimal places). In simplest radical form it is 5√255.

Square root of 6375

Pick any whole number from 1 to 10,000.

\sqrt{6375} = 5\sqrt{255} \approx 79.843597

How to work it out

1
The square root of 6375 is the number that multiplied by itself gives 6375.
2
6375 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: 6375 = 25 × 255, so
$\sqrt{6375} = \sqrt{25 \times 255} = 5\sqrt{255}$
4
A calculator, or long division of digits, gives
$\sqrt{6375} \approx 79.843597$

LaTeX source of the formulas on this page

\[ \sqrt{6375} = 5\sqrt{255} \approx 79.843597 \]
\[ \sqrt{6375} = \sqrt{25 \times 255} = 5\sqrt{255} \]
\[ \sqrt{6375} \approx 79.843597 \]

What is the square root of 6375?

The square root of 6375 is 79.843597 (rounded to 6 decimal places). In simplest radical form it is 5√255.

Is 6375 a perfect square?

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

What is 6375 squared?

6375 × 6375 = 40640625.

What is the square root of 6375 rounded to 2 decimals?

79.84.