How do you simplify #2 sqrt 7 + sqrt 14 + 4 sqrt 7#?

1 Answer
Feb 3, 2016

Answer:

# 6sqrt7 + sqrt14 #

Explanation:

#sqrt14 #
cannot be simplified as it has no factors which are squares.
As in Algebraic expressions where like terms can be collected. The same holds for radicals. We can collect like radicals.in the same way.

# 2sqrt7 color(black)(" and ") 4sqrt7color(black)(" are like ")#
and can be collected by adding the 2 and 4.

#sqrt14color(black)(" is on it's own ") #

# rArr 2sqrt7 + sqrt14 +4sqrt7 = 6sqrt7 + sqrt14 #