Square root of 9744

The square root of 9744 is 98.711701 (rounded to 6 decimal places). In simplest radical form it is 4√609.

Square root of 9744

Pick any whole number from 1 to 10,000.

\sqrt{9744} = 4\sqrt{609} \approx 98.711701

How to work it out

1
The square root of 9744 is the number that multiplied by itself gives 9744.
2
9744 is between the perfect squares 98² = 9604 and 99² = 9801, so its square root is between 98 and 99.
3
Pull out the biggest square factor: 9744 = 16 × 609, so
$\sqrt{9744} = \sqrt{16 \times 609} = 4\sqrt{609}$
4
A calculator, or long division of digits, gives
$\sqrt{9744} \approx 98.711701$

LaTeX source of the formulas on this page

\[ \sqrt{9744} = 4\sqrt{609} \approx 98.711701 \]
\[ \sqrt{9744} = \sqrt{16 \times 609} = 4\sqrt{609} \]
\[ \sqrt{9744} \approx 98.711701 \]

What is the square root of 9744?

The square root of 9744 is 98.711701 (rounded to 6 decimal places). In simplest radical form it is 4√609.

Is 9744 a perfect square?

No. It lies between 98² = 9604 and 99² = 9801.

What is 9744 squared?

9744 × 9744 = 94945536.

What is the square root of 9744 rounded to 2 decimals?

98.71.