Answer:
Yes, [tex]3\sqrt{5}[/tex]
Step-by-step explanation:
The root is distibutive respect to the division and multiplication.
So, we need to find numbers that multiplied between then, results in 45. This is called decomposition.
[tex]\frac{45}{5}=9[/tex] ⇒[tex]\frac{9}{3} =3[/tex]⇒[tex]\frac{3}{3} =1[/tex]
Then, 45 can be re-writed like 5*3*3
Now, replaced looks like this: [tex]\sqrt{5*3*3} = \sqrt{5*9}[/tex] but we know that: [tex]\sqrt{9} =3[/tex] so, the 3 goes out of the root and the final result is: [tex]3\sqrt{5}[/tex]
