How would you simplify #5 * sqrt3 + sqrt 27#?

2 Answers
May 9, 2018

#5*\sqrt(3)+\sqrt(27)=#

Explanation:

#5*\sqrt(3)+\sqrt(27)=#
#=5*\sqrt(3)+\sqrt(3*9)=#
#=5*\sqrt(3)+\sqrt(3*3^2)=#
#=5*\sqrt(3)+3\sqrt(3)=#
#=8*\sqrt(3)#

May 9, 2018

#8sqrt3#

Explanation:

As per the given question, we have

#5*sqrt3 + sqrt27#

#= 5sqrt3 + sqrt(9 xx 3)#

#= 5sqrt3 + sqrt9 xx sqrt3#

#= 5sqrt3 + 3xxsqrt3#

#= 5sqrt3 +3sqrt3#

#= 8sqrt3#