Square root of 9748

The square root of 9748 is 98.73196 (rounded to 6 decimal places). In simplest radical form it is 2√2437.

Square root of 9748

Pick any whole number from 1 to 10,000.

\sqrt{9748} = 2\sqrt{2437} \approx 98.73196

How to work it out

1
The square root of 9748 is the number that multiplied by itself gives 9748.
2
9748 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: 9748 = 4 × 2437, so
$\sqrt{9748} = \sqrt{4 \times 2437} = 2\sqrt{2437}$
4
A calculator, or long division of digits, gives
$\sqrt{9748} \approx 98.73196$

LaTeX source of the formulas on this page

\[ \sqrt{9748} = 2\sqrt{2437} \approx 98.73196 \]
\[ \sqrt{9748} = \sqrt{4 \times 2437} = 2\sqrt{2437} \]
\[ \sqrt{9748} \approx 98.73196 \]

What is the square root of 9748?

The square root of 9748 is 98.73196 (rounded to 6 decimal places). In simplest radical form it is 2√2437.

Is 9748 a perfect square?

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

What is 9748 squared?

9748 × 9748 = 95023504.

What is the square root of 9748 rounded to 2 decimals?

98.73.