How do you simplify # 5sqrt3+2sqrt75#?

1 Answer
Oct 4, 2016

Answer:

#15 sqrt(3)#

Explanation:

We have: #5 sqrt(3) + 2 sqrt(75)#

Let's break down #sqrt(75)#:

#= 5 sqrt(3) + 2 sqrt(3 cdot 25)#

#= 5 sqrt(3) + 2 cdot sqrt(3) cdot sqrt(25)#

#= 5 sqrt(3) + 2 cdot sqrt(3) cdot 5#

#= 5 sqrt(3) + 10 sqrt(3)#

Now, let's collect the like terms:

#= 15 sqrt(3)#