Square root of 9824

The square root of 9824 is 99.116094 (rounded to 6 decimal places). In simplest radical form it is 4√614.

Square root of 9824

Pick any whole number from 1 to 10,000.

\sqrt{9824} = 4\sqrt{614} \approx 99.116094

How to work it out

1
The square root of 9824 is the number that multiplied by itself gives 9824.
2
9824 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: 9824 = 16 × 614, so
$\sqrt{9824} = \sqrt{16 \times 614} = 4\sqrt{614}$
4
A calculator, or long division of digits, gives
$\sqrt{9824} \approx 99.116094$

LaTeX source of the formulas on this page

\[ \sqrt{9824} = 4\sqrt{614} \approx 99.116094 \]
\[ \sqrt{9824} = \sqrt{16 \times 614} = 4\sqrt{614} \]
\[ \sqrt{9824} \approx 99.116094 \]

What is the square root of 9824?

The square root of 9824 is 99.116094 (rounded to 6 decimal places). In simplest radical form it is 4√614.

Is 9824 a perfect square?

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

What is 9824 squared?

9824 × 9824 = 96510976.

What is the square root of 9824 rounded to 2 decimals?

99.12.