Square root of 9624

The square root of 9624 is 98.101988 (rounded to 6 decimal places). In simplest radical form it is 2√2406.

Square root of 9624

Pick any whole number from 1 to 10,000.

\sqrt{9624} = 2\sqrt{2406} \approx 98.101988

How to work it out

1
The square root of 9624 is the number that multiplied by itself gives 9624.
2
9624 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: 9624 = 4 × 2406, so
$\sqrt{9624} = \sqrt{4 \times 2406} = 2\sqrt{2406}$
4
A calculator, or long division of digits, gives
$\sqrt{9624} \approx 98.101988$

LaTeX source of the formulas on this page

\[ \sqrt{9624} = 2\sqrt{2406} \approx 98.101988 \]
\[ \sqrt{9624} = \sqrt{4 \times 2406} = 2\sqrt{2406} \]
\[ \sqrt{9624} \approx 98.101988 \]

What is the square root of 9624?

The square root of 9624 is 98.101988 (rounded to 6 decimal places). In simplest radical form it is 2√2406.

Is 9624 a perfect square?

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

What is 9624 squared?

9624 × 9624 = 92621376.

What is the square root of 9624 rounded to 2 decimals?

98.10.