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:

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

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

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

$6sqrt(35)$