Square root of 9724

The square root of 9724 is 98.610344 (rounded to 6 decimal places). In simplest radical form it is 2√2431.

Square root of 9724

Pick any whole number from 1 to 10,000.

\sqrt{9724} = 2\sqrt{2431} \approx 98.610344

How to work it out

1
The square root of 9724 is the number that multiplied by itself gives 9724.
2
9724 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: 9724 = 4 × 2431, so
$\sqrt{9724} = \sqrt{4 \times 2431} = 2\sqrt{2431}$
4
A calculator, or long division of digits, gives
$\sqrt{9724} \approx 98.610344$

LaTeX source of the formulas on this page

\[ \sqrt{9724} = 2\sqrt{2431} \approx 98.610344 \]
\[ \sqrt{9724} = \sqrt{4 \times 2431} = 2\sqrt{2431} \]
\[ \sqrt{9724} \approx 98.610344 \]

What is the square root of 9724?

The square root of 9724 is 98.610344 (rounded to 6 decimal places). In simplest radical form it is 2√2431.

Is 9724 a perfect square?

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

What is 9724 squared?

9724 × 9724 = 94556176.

What is the square root of 9724 rounded to 2 decimals?

98.61.