Question

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

Answer 1

Answer:

$47x^3\sqrt{5x}$

Step-by-step explanation:

The objective is to combine the terms to make one radical, so therefore we know that we will have to take a $\sqrt{5}$ out of the second radical $\sqrt{180}$.

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

$\sqrt{180}=\sqrt{5}$×$\sqrt{36}$

$\sqrt{36}$ can be simplied into just 6.

So now the expression becomes

$-\sqrt{5x^7}+8x^2*6 \sqrt{5x^3}$

Then we can further simplify by moving the $x^{2}$ into the radical to get two common terms with $\sqrt{5x^7}$.

$x^{2} =\sqrt{x^4}$, so we now have

$-\sqrt{5x^7}+ 8\sqrt{x^4} *6 \sqrt{5x^3}$

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

$-\sqrt{5x^7}+48\sqrt{5x^7}$

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

$47\sqrt{5x^7}$

Here, we can take out $\sqrt{x^6}$, which is $x^3$, and get the final simplied form to be

$47x^3\sqrt{5x}$

Hope this helped.