How do you simplify #4sqrt3+6sqrt12#?

2 Answers
Jul 25, 2018

Answer:

#16sqrt3#

Explanation:

#4sqrt3 + 6sqrt12#

#=4sqrt3 + 6sqrt(4*3)#

#=4sqrt3 + 6sqrt4sqrt3#

#=4sqrt3 + 6*2sqrt3#

#=4sqrt3 + 12sqrt3#

#=16sqrt3#

Jul 28, 2018

Answer:

#16sqrt3#

Explanation:

#sqrt12# is the same as #sqrt4*sqrt3#, or #2sqrt3#. With this in mind, we can rewrite this as

#4sqrt3+6*2sqrt3#

This further simplifies to

#4sqrt3+12sqrt3#

Since both terms have a #sqrt3# in common, we can combine them to get

#16sqrt3#

Hope this helps!