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DedPeter [7]
3 years ago
12

Find the simplified product (Sqrt 2x^3)(sqrt 18x^5)

Mathematics
2 answers:
Vikki [24]3 years ago
7 0

Answer:

6x^4

Step-by-step explanation:

the expression we have is:

(\sqrt{2x^3})( \sqrt{18x^5} )

Because it is a product of two square roots, we can put it together in one:

\sqrt{(2x^3)(18x^5)}

and we carry out the multiplication inside the square root

(to multiply the variable x we sum the exponents 3+5=8)

\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8}  \\

and now we can take the square root of 36 which is 6.

and to take the square root if x^8 we divide the exponent by 2:

=6x^{8/2}\\=6x^4

the simplified product is:  6x^4

fiasKO [112]3 years ago
4 0

The answer is 6x^4

You can find the equation to your question here

brainly.com/question/9720288#readmore

The answer explains in detail and is easy to understand.

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