Square root of 9825

The square root of 9825 is 99.121138 (rounded to 6 decimal places). In simplest radical form it is 5√393.

Square root of 9825

Pick any whole number from 1 to 10,000.

\sqrt{9825} = 5\sqrt{393} \approx 99.121138

How to work it out

1
The square root of 9825 is the number that multiplied by itself gives 9825.
2
9825 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: 9825 = 25 × 393, so
$\sqrt{9825} = \sqrt{25 \times 393} = 5\sqrt{393}$
4
A calculator, or long division of digits, gives
$\sqrt{9825} \approx 99.121138$

LaTeX source of the formulas on this page

\[ \sqrt{9825} = 5\sqrt{393} \approx 99.121138 \]
\[ \sqrt{9825} = \sqrt{25 \times 393} = 5\sqrt{393} \]
\[ \sqrt{9825} \approx 99.121138 \]

What is the square root of 9825?

The square root of 9825 is 99.121138 (rounded to 6 decimal places). In simplest radical form it is 5√393.

Is 9825 a perfect square?

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

What is 9825 squared?

9825 × 9825 = 96530625.

What is the square root of 9825 rounded to 2 decimals?

99.12.