Square root of 9648

The square root of 9648 is 98.224233 (rounded to 6 decimal places). In simplest radical form it is 12√67.

Square root of 9648

Pick any whole number from 1 to 10,000.

\sqrt{9648} = 12\sqrt{67} \approx 98.224233

How to work it out

1
The square root of 9648 is the number that multiplied by itself gives 9648.
2
9648 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: 9648 = 144 × 67, so
$\sqrt{9648} = \sqrt{144 \times 67} = 12\sqrt{67}$
4
A calculator, or long division of digits, gives
$\sqrt{9648} \approx 98.224233$

LaTeX source of the formulas on this page

\[ \sqrt{9648} = 12\sqrt{67} \approx 98.224233 \]
\[ \sqrt{9648} = \sqrt{144 \times 67} = 12\sqrt{67} \]
\[ \sqrt{9648} \approx 98.224233 \]

What is the square root of 9648?

The square root of 9648 is 98.224233 (rounded to 6 decimal places). In simplest radical form it is 12√67.

Is 9648 a perfect square?

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

What is 9648 squared?

9648 × 9648 = 93083904.

What is the square root of 9648 rounded to 2 decimals?

98.22.