Asked by Andrea
Rationalize the denominator and simplify if possible. √5+√3 / √5-√3
Answers
Answered by
Steve
multiply top and bottom by the conjugate, and recall that (a-b)(a+b) = a^2-b^2
(√5+√3)/(√5-√3) * (√5+√3)/(√5+√3) = (√5+√3)^2/(5-3) = (8+2√15)/2 = 4+√15
(√5+√3)/(√5-√3) * (√5+√3)/(√5+√3) = (√5+√3)^2/(5-3) = (8+2√15)/2 = 4+√15
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