How do you simplify #sqrt75+sqrt3#?
1 Answer
Oct 9, 2015
Explanation:
Notice that you can write
#75 = 25 * 3 = 5 * 5 * 3 = 5^2 * 3#
This means that the expression can be written as
#sqrt(75) + sqrt(3) = sqrt(5^2 * 3) + sqrt(3)#
#=sqrt(5^2) * sqrt(3) + sqrt(3)#
#=5sqrt(3) + sqrt(3)#
#=sqrt(3) * (5 + 1)#
#= color(green)(6sqrt(3))#
