How do you simplify sqrt15 * sqrt45?
1 Answer
May 1, 2016
Explanation:
Given,
sqrt(15)*sqrt(45)
Break down each radical using square numbers. Since
=sqrt(15)*sqrt(9*5)
Since
=sqrt(15)*3sqrt(5)
Now that the second radical is simplified, multiply it by the first radical.
=3sqrt(15*5)
=3sqrt(75)
Break down
=3sqrt(25*3)
Since
=3*5sqrt(3)
=color(green)(|bar(ul(color(white)(a/a)color(black)(15sqrt(3))color(white)(a/a)|)))