Question

Please helps?!?!?!?!?!?!?!?!?!

Answer 1

`47x^3√(5x)`

Explanation:

The objective is to combine the terms to make one radical, so therefore we know that we will have to take a
`√(5)` out of the second radical
`√(180)`.

If we divide 180 by 5, we will get 36, so now we have

`√(180)=√(5)`×
`√(36)`

`√(36)` can be simplied into just 6.

So now the expression becomes

`-√(5x^7)+8x^2*6 √(5x^3)`

Then we can further simplify by moving the
`x^(2)` into the radical to get two common terms with
`√(5x^7)`.

`x^(2) =√(x^4)`, so we now have

`-√(5x^7)+ 8√(x^4) *6 √(5x^3)`

So then we can combine the two radicals to get the expression to

`-√(5x^7)+48√(5x^7)`

We now see that we have two terms with a common radical, and coefficients of -1, and 48.

That allows us to simplify further to

`47√(5x^7)`

Here, we can take out
`√(x^6)`, which is
`x^3`, and get the final simplied form to be

`47x^3√(5x)`

Hope this helped.