Square root of 9424

The square root of 9424 is 97.077289 (rounded to 6 decimal places). In simplest radical form it is 4√589.

Square root of 9424

Pick any whole number from 1 to 10,000.

\sqrt{9424} = 4\sqrt{589} \approx 97.077289

How to work it out

1
The square root of 9424 is the number that multiplied by itself gives 9424.
2
9424 is between the perfect squares 97² = 9409 and 98² = 9604, so its square root is between 97 and 98.
3
Pull out the biggest square factor: 9424 = 16 × 589, so
$\sqrt{9424} = \sqrt{16 \times 589} = 4\sqrt{589}$
4
A calculator, or long division of digits, gives
$\sqrt{9424} \approx 97.077289$

LaTeX source of the formulas on this page

\[ \sqrt{9424} = 4\sqrt{589} \approx 97.077289 \]
\[ \sqrt{9424} = \sqrt{16 \times 589} = 4\sqrt{589} \]
\[ \sqrt{9424} \approx 97.077289 \]

What is the square root of 9424?

The square root of 9424 is 97.077289 (rounded to 6 decimal places). In simplest radical form it is 4√589.

Is 9424 a perfect square?

No. It lies between 97² = 9409 and 98² = 9604.

What is 9424 squared?

9424 × 9424 = 88811776.

What is the square root of 9424 rounded to 2 decimals?

97.08.