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

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Answer 1 · 2016-10-04T04:50:47

#15 sqrt(3)#

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)#