SOLUTION: how do you work out (3+root 6)squared

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Question 296099: how do you work out (3+root 6)squared
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how do you work out (3+root 6)squared
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The same as squaring any binomial.
%28a+%2B+b%29%5E2+=+a%5E2+%2B+2ab+%2B+b%5E2
%283+%2B+sqrt%286%29%29%5E2+=+3%5E2+%2B+2%2A3%2Asqrt%286%29+%2B+%28sqrt%286%29%29%5E2
= 9+%2B+6sqrt%286%29+%2B+6
= 15+%2B+6sqrt%286%29