# SOLUTION: Could someone help with this radical? I am having troubles understanding how to do this? (&#8730;{6}+2&#8730;{2})(4&#8730;{6}-3&#8730;{2}) Could you help me step by step on th

Algebra ->  Algebra  -> Radicals -> SOLUTION: Could someone help with this radical? I am having troubles understanding how to do this? (&#8730;{6}+2&#8730;{2})(4&#8730;{6}-3&#8730;{2}) Could you help me step by step on th      Log On

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 Question 136727: Could someone help with this radical? I am having troubles understanding how to do this? (√{6}+2√{2})(4√{6}-3√{2}) Could you help me step by step on this? The other one that seems a little easier that I can not figure is √{81}x12y8z10} I know that the √ of 81 is 9 but how do I figure out the exponents? Found 2 solutions by stanbon, solver91311:Answer by stanbon(57224)   (Show Source): You can put this solution on YOUR website!(√{6}+2√{2})(4√{6}-3√{2}) Use FOIL: F: =4*6 = 24 O: =-3sqrt12 = -6sqrt(3) I: = 4sqrt(12) = 8sqrt(3) L: = -6*2 = -12 --------------- Combine to get: 12 + 2sqrt(3) ========================================= The other one that seems a little easier that I can not figure is √{81}{x12y8z10} = 9x^12y^8z^10 ========================================= Cheers, Stan H. Answer by solver91311(16868)   (Show Source): You can put this solution on YOUR website! Use FOIL just like you would on something like First: Outside: Inside: Last: Add 'em up: Remember that , and so