(5+√3)/(5-√3) through rationalisation
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Answer: (5+√3)/(5-√3)
= (5+√3)/(5-√3)× (5+√3)/(5+√3)
[(a+b)²=(a²+2ab+b²)]
= (5+√3)²/(5+√3)/(5-√3)
[(a+b)(a-b)=(a²-b²)]
= 25+10√3+3/(5)²-(√3)²
= 28+10√3/25-3
= 2(14+5√3)/22
=14+5√3/11
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