How do you multiply #4\sqrt { 2x ^ { 9} } \cdot 3\sqrt { 50x }#?

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Answer 1 · 2018-03-11T13:10:29

See a solution process below:

First, rewrite the expression as:

#4 * 3 * sqrt(2x^9) * sqrt(50x) => #

#12 * sqrt(2x^9) * sqrt(50x)#

Now, use this rule for exponents to combine the radicals:

#sqrt(color(red)(a)) * sqrt(color(blue)(b)) = sqrt(color(red)(a) * color(blue)(b))#

#12 * sqrt(color(red)(2x^9)) * sqrt(color(blue)(50x)) =>#

#12 * sqrt(color(red)(2x^9) * color(blue)(50x)) =>#

#12 * sqrt(100x^10) =>#

#12 * 10x^5 =>#

#120x^5#