Square root of 9688

The square root of 9688 is 98.427638 (rounded to 6 decimal places). In simplest radical form it is 2√2422.

Square root of 9688

Pick any whole number from 1 to 10,000.

\sqrt{9688} = 2\sqrt{2422} \approx 98.427638

How to work it out

1
The square root of 9688 is the number that multiplied by itself gives 9688.
2
9688 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: 9688 = 4 × 2422, so
$\sqrt{9688} = \sqrt{4 \times 2422} = 2\sqrt{2422}$
4
A calculator, or long division of digits, gives
$\sqrt{9688} \approx 98.427638$

LaTeX source of the formulas on this page

\[ \sqrt{9688} = 2\sqrt{2422} \approx 98.427638 \]
\[ \sqrt{9688} = \sqrt{4 \times 2422} = 2\sqrt{2422} \]
\[ \sqrt{9688} \approx 98.427638 \]

What is the square root of 9688?

The square root of 9688 is 98.427638 (rounded to 6 decimal places). In simplest radical form it is 2√2422.

Is 9688 a perfect square?

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

What is 9688 squared?

9688 × 9688 = 93857344.

What is the square root of 9688 rounded to 2 decimals?

98.43.