Simplify 7+√3 7−√3 + 7− √3 7+ √3 – InterviewSolution

1.

Simplify 7+√3 7−√3 + 7− √3 7+ √3

Answer»

(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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