How do you simplify #9sqrt13-6sqrt11+sqrt13#?

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Answer 1 · 2017-04-30T14:13:44

#10sqrt(13)-6sqrt(11)#

Note that both 11 and 13 are prime numbers. So the roots can not be simplified any further

Set #sqrt(13) =a#

Set #sqrt(11)=b#

Then we have the same situation as

#9a-6b+a#

#10a-6b#

#10sqrt(13)-6sqrt(11)#