Square root of 8375

The square root of 8375 is 91.515026 (rounded to 6 decimal places). In simplest radical form it is 5√335.

Square root of 8375

Pick any whole number from 1 to 10,000.

\sqrt{8375} = 5\sqrt{335} \approx 91.515026

How to work it out

1
The square root of 8375 is the number that multiplied by itself gives 8375.
2
8375 is between the perfect squares 91² = 8281 and 92² = 8464, so its square root is between 91 and 92.
3
Pull out the biggest square factor: 8375 = 25 × 335, so
$\sqrt{8375} = \sqrt{25 \times 335} = 5\sqrt{335}$
4
A calculator, or long division of digits, gives
$\sqrt{8375} \approx 91.515026$

LaTeX source of the formulas on this page

\[ \sqrt{8375} = 5\sqrt{335} \approx 91.515026 \]
\[ \sqrt{8375} = \sqrt{25 \times 335} = 5\sqrt{335} \]
\[ \sqrt{8375} \approx 91.515026 \]

What is the square root of 8375?

The square root of 8375 is 91.515026 (rounded to 6 decimal places). In simplest radical form it is 5√335.

Is 8375 a perfect square?

No. It lies between 91² = 8281 and 92² = 8464.

What is 8375 squared?

8375 × 8375 = 70140625.

What is the square root of 8375 rounded to 2 decimals?

91.52.