Question

Simplify the product.

Answer 1

Answer:

$120x^4\sqrt{2}$

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

$10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}$

and

$2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}$

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

$(20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}$