How do you add #3\sqrt { 5} + 4\sqrt { 11} - 5\sqrt { 5} + 7\sqrt { 11}#?

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Answer 1 · 2017-05-22T22:20:12

See a solution process below:

First, rewrite the expression grouping like terms:

#3sqrt(5) + 4sqrt(11) - 5sqrt(5) + 7sqrt(11) =>#

#3sqrt(5) - 5sqrt(5) + 4sqrt(11) + 7sqrt(11)#

Now, combine like terms:

#3sqrt(5) - 5sqrt(5) + 4sqrt(11) + 7sqrt(11) =>#

#(3 - 5)sqrt(5) + (4 + 7)sqrt(11) =>#

#-2sqrt(5) + 11sqrt(11)#