Step-by-step explanation:
First let's factor 72:
[tex]72 = 2^{3} * 3^{2}[/tex]
Next, we can try to take the square root of each term in this factorization:
[tex]\sqrt{2^{3}}[/tex]
[tex]2\sqrt{2}[/tex]
[tex]\sqrt{3^{2}}[/tex]
[tex]3[/tex]
Finally, we can multiply these two together:
[tex]2\sqrt{2} * 3[/tex]
[tex]6\sqrt{2}[/tex]
Alternatively, you could find that 72 is [tex]2 * 6^{2}[/tex] and took the square root of the [tex]6^{2}[/tex] and moved the 6 out of the square root.
