Square root of 9708

The square root of 9708 is 98.529183 (rounded to 6 decimal places). In simplest radical form it is 2√2427.

Square root of 9708

Pick any whole number from 1 to 10,000.

\sqrt{9708} = 2\sqrt{2427} \approx 98.529183

How to work it out

1
The square root of 9708 is the number that multiplied by itself gives 9708.
2
9708 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: 9708 = 4 × 2427, so
$\sqrt{9708} = \sqrt{4 \times 2427} = 2\sqrt{2427}$
4
A calculator, or long division of digits, gives
$\sqrt{9708} \approx 98.529183$

LaTeX source of the formulas on this page

\[ \sqrt{9708} = 2\sqrt{2427} \approx 98.529183 \]
\[ \sqrt{9708} = \sqrt{4 \times 2427} = 2\sqrt{2427} \]
\[ \sqrt{9708} \approx 98.529183 \]

What is the square root of 9708?

The square root of 9708 is 98.529183 (rounded to 6 decimal places). In simplest radical form it is 2√2427.

Is 9708 a perfect square?

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

What is 9708 squared?

9708 × 9708 = 94245264.

What is the square root of 9708 rounded to 2 decimals?

98.53.