Question

I keep explaining that I have blank 1 as 9 and blank 2 as 5. Blank 1 is not correct. please help me solve

Answer 1

We have the following expression:

`3\sqrt[]{45}`

First, we must find the prime factorization of the number inside the radical:

`45=3*3*5`

Next, determine the index of the radical. In our case the index is two because it is a square root, which means we need two of a kind:

`45=3*3*5=3^2*5`

Then, we can move 3 outside the radical, that is

`3\sqrt[]{45}=3\sqrt[]{3^2*5}=3*3\sqrt[]{5}`

and finally, simplify the expression both inside and outside the radical:

`3\sqrt[]{45}=9\sqrt[]{5}`

Then, the answer is