What is the product of 2 rad(7) and 3 rad(5)?

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Answer 1 · 2017-12-07T01:33:32

See a solution process below:

First, we can write and then rewrite this as;

#2sqrt(7) * 3sqrt(5) =>#

#(2 * 3)(sqrt(7) * sqrt(5)) =>#

#6(sqrt(7) * sqrt(5))#

Now, we can use this rule for radicals to multiply the radicals:

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

#6(sqrt(color(red)(7)) * sqrt(color(blue)(5))) =>#

#6sqrt(color(red)(7) * color(blue)(5)) =>#

#6sqrt(35)#