How do you simplify #sqrt75+sqrt3#?

1 Answer
Oct 9, 2015

Answer:

#6sqrt(3)#

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))#