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topjm [15]
3 years ago
8

Simplify the product.

Mathematics
1 answer:
arlik [135]3 years ago
3 0

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}

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