The answer is 6x^4
You can find the equation to your question here
https://brainly.com/question/9720288#readmore
The answer explains in detail and is easy to understand.
Answer:
[tex]6x^4[/tex]
Step-by-step explanation:
the expression we have is:
[tex](\sqrt{2x^3})( \sqrt{18x^5} )[/tex]
Because it is a product of two square roots, we can put it together in one:
[tex]\sqrt{(2x^3)(18x^5)}[/tex]
and we carry out the multiplication inside the square root
(to multiply the variable x we sum the exponents 3+5=8)
[tex]\sqrt{2*18x^{3+5}}\\\\=\sqrt{36x^8} \\[/tex]
and now we can take the square root of 36 which is 6.
and to take the square root if [tex]x^8[/tex] we divide the exponent by 2:
[tex]=6x^{8/2}\\=6x^4[/tex]
the simplified product is: [tex]6x^4[/tex]
