How do you simplify #5\sqrt { 2} + 4\sqrt { 3} - 3\sqrt { 2} + 2\sqrt { 3} - \sqrt { 2}#?

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Answer 1 · 2017-09-18T13:02:29

See a solution process below:

First, group like terms:

#5sqrt(2) - 3sqrt(2) - sqrt(2) + 4sqrt(3) + 2sqrt(3)#

Next, combine like terms:

#5sqrt(2) - 3sqrt(2) - 1sqrt(2) + 4sqrt(3) + 2sqrt(3)#

#(5 - 3 - 1)sqrt(2) + (4 + 2)sqrt(3)#

#1sqrt(2) + 6sqrt(3)#

#sqrt(2) + 6sqrt(3)#