Square root of 9664

The square root of 9664 is 98.305646 (rounded to 6 decimal places). In simplest radical form it is 8√151.

Square root of 9664

Pick any whole number from 1 to 10,000.

\sqrt{9664} = 8\sqrt{151} \approx 98.305646

How to work it out

1
The square root of 9664 is the number that multiplied by itself gives 9664.
2
9664 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: 9664 = 64 × 151, so
$\sqrt{9664} = \sqrt{64 \times 151} = 8\sqrt{151}$
4
A calculator, or long division of digits, gives
$\sqrt{9664} \approx 98.305646$

LaTeX source of the formulas on this page

\[ \sqrt{9664} = 8\sqrt{151} \approx 98.305646 \]
\[ \sqrt{9664} = \sqrt{64 \times 151} = 8\sqrt{151} \]
\[ \sqrt{9664} \approx 98.305646 \]

What is the square root of 9664?

The square root of 9664 is 98.305646 (rounded to 6 decimal places). In simplest radical form it is 8√151.

Is 9664 a perfect square?

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

What is 9664 squared?

9664 × 9664 = 93392896.

What is the square root of 9664 rounded to 2 decimals?

98.31.