Square root of 96

The square root of 96 is 9.797959 (rounded to 6 decimal places). In simplest radical form it is 4√6.

Square root of 96

Pick any whole number from 1 to 10,000.

\sqrt{96} = 4\sqrt{6} \approx 9.797959

How to work it out

1
The square root of 96 is the number that multiplied by itself gives 96.
2
96 is between the perfect squares 9² = 81 and 10² = 100, so its square root is between 9 and 10.
3
Pull out the biggest square factor: 96 = 16 × 6, so
$\sqrt{96} = \sqrt{16 \times 6} = 4\sqrt{6}$
4
A calculator, or long division of digits, gives
$\sqrt{96} \approx 9.797959$

LaTeX source of the formulas on this page

\[ \sqrt{96} = 4\sqrt{6} \approx 9.797959 \]
\[ \sqrt{96} = \sqrt{16 \times 6} = 4\sqrt{6} \]
\[ \sqrt{96} \approx 9.797959 \]

What is the square root of 96?

The square root of 96 is 9.797959 (rounded to 6 decimal places). In simplest radical form it is 4√6.

Is 96 a perfect square?

No. It lies between 9² = 81 and 10² = 100.

What is 96 squared?

96 × 96 = 9216.

What is the square root of 96 rounded to 2 decimals?

9.80.