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anonymous
 one year ago
rationalize the denominator and simplify (2√7+3)/(√7+2)
anonymous
 one year ago
rationalize the denominator and simplify (2√7+3)/(√7+2)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0When you want to rationalize the denominator you want to multiply it by the numerator and denominator by the conjugate \[\sqrt{7}2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ (2\sqrt{7}+3 )}{ (\sqrt{7}+2 )} \times \frac{ \sqrt{7}2 }{ \sqrt{7}2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0why is it negative? shouldnt it be positive 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh opps just kidding the bottom cancels out

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0To rationalize we use the conjugate which simply means we change the sign so notice how we want to rationalize the denominator so we multiply the top and bottom by sqrt(7)2 we change the + to  this way we can get an expression as such \[a^2b^2\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1"When you want to rationalize the denominator you want to multiply it by the numerator and denominator by the conjugate " signs need to be switched.. since you have a + on the denominator we have to multiply by sqrt{7}2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ahaha I understand now! thank you both!
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