Square root of 9796

The square root of 9796 is 98.974744 (rounded to 6 decimal places). In simplest radical form it is 2√2449.

Square root of 9796

Pick any whole number from 1 to 10,000.

\sqrt{9796} = 2\sqrt{2449} \approx 98.974744

How to work it out

1
The square root of 9796 is the number that multiplied by itself gives 9796.
2
9796 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: 9796 = 4 × 2449, so
$\sqrt{9796} = \sqrt{4 \times 2449} = 2\sqrt{2449}$
4
A calculator, or long division of digits, gives
$\sqrt{9796} \approx 98.974744$

LaTeX source of the formulas on this page

\[ \sqrt{9796} = 2\sqrt{2449} \approx 98.974744 \]
\[ \sqrt{9796} = \sqrt{4 \times 2449} = 2\sqrt{2449} \]
\[ \sqrt{9796} \approx 98.974744 \]

What is the square root of 9796?

The square root of 9796 is 98.974744 (rounded to 6 decimal places). In simplest radical form it is 2√2449.

Is 9796 a perfect square?

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

What is 9796 squared?

9796 × 9796 = 95961616.

What is the square root of 9796 rounded to 2 decimals?

98.97.