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

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Answer 1 · 2018-07-25T01:22:05

#16sqrt3#

#4sqrt3 + 6sqrt12#

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

#=4sqrt3 + 6sqrt4sqrt3#

#=4sqrt3 + 6*2sqrt3#

#=4sqrt3 + 12sqrt3#

#=16sqrt3#

Answer 2 · 2018-07-28T20:51:20

#16sqrt3#

#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!