Philip P. answered 09/14/15
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(√3 + 2√10)(4√3 - √10)
= √3*4√3 - √3√10 + 2√10*4√3 - 2√10√10
= 4*3 - √30 + 8√30 - 2*10
= 12 + 7√30 - 20
= -8 + 7√30