Square root of 9875

The square root of 9875 is 99.373035 (rounded to 6 decimal places). In simplest radical form it is 5√395.

Square root of 9875

Pick any whole number from 1 to 10,000.

\sqrt{9875} = 5\sqrt{395} \approx 99.373035

How to work it out

1
The square root of 9875 is the number that multiplied by itself gives 9875.
2
9875 is between the perfect squares 99² = 9801 and 100² = 10000, so its square root is between 99 and 100.
3
Pull out the biggest square factor: 9875 = 25 × 395, so
$\sqrt{9875} = \sqrt{25 \times 395} = 5\sqrt{395}$
4
A calculator, or long division of digits, gives
$\sqrt{9875} \approx 99.373035$

LaTeX source of the formulas on this page

\[ \sqrt{9875} = 5\sqrt{395} \approx 99.373035 \]
\[ \sqrt{9875} = \sqrt{25 \times 395} = 5\sqrt{395} \]
\[ \sqrt{9875} \approx 99.373035 \]

What is the square root of 9875?

The square root of 9875 is 99.373035 (rounded to 6 decimal places). In simplest radical form it is 5√395.

Is 9875 a perfect square?

No. It lies between 99² = 9801 and 100² = 10000.

What is 9875 squared?

9875 × 9875 = 97515625.

What is the square root of 9875 rounded to 2 decimals?

99.37.