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)|)))#