SOLUTION: How do you simplfy 5/(sqrt(6)+ 2)?
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Question 245012: How do you simplfy 5/(sqrt(6)+ 2)?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
OK. The idea here is to clear the radical in the denominator. We can do this by multiplyinig the numerator and denominator by (sqrt(6)-2)---and we get
{5(sqrt(6)-2)}/{sqrt(6)+2)(sqrt(6)-2)} and this reduces to:
{5(sqrt(6)-2)}/{6-4) further simplifying, we have:
{5sqrt(6)-10}/2 or (5/2)sqrt(6)-5
Hope this helps--ptaylor
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