Simplify 3+√7/ 3−√7+ 3−√7/3+√7
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Step-by-step explanation:
I(7+√3)/(7-√3) + (7-√3)/(7+√3) [rationalizing it]
=(7+√3)/(7-√3) ×(7+√3)/(7+√3) + (7-√3)/(7+√3) ×(7-√3)/(7-√3)
=(7 +√3)²/(49-3) + (7-√3)²/(49-3)
=(49 +3+ 14√3 +49+3 -14√3)/46
= 104/46 = 52/23
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