In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
√96
Step 02:
We must analyze the root to find the solution.
96 | 2
48 | 2
24 | 2
12 | 2
6 | 2
3 | 3
1
[tex]96\text{ = 2 }^5\text{ * 3 }[/tex][tex]\sqrt{2^5*3}=\sqrt{2^4*2*3}=2^{\frac{4}{2}}\sqrt{2*3}=2^2\sqrt{6}=4\sqrt{6}[/tex]The answer is:
4√6
