Question:
Simplify: 1/(5+√3) + 1/(5−√3) − 10/(25−3)
सरल कीजिए: 1/(5+√3) + 1/(5−√3) − 10/(25−3)
Options:
- a) 0
- b) 1
- c) 2
- d) √3
- a) 0
- b) 1
- c) 2
- d) √3
correct answer : a)
Explanation:
1/(5+√3) + 1/(5-√3) = (5 – √3 + 5 + √3) / ((5+√3)(5-√3)) = 10 / (25 – 3) = 10/22. The third term is 10/(25-3) = 10/22. So, 10/22 – 10/22 = 0.
1/(5+√3) + 1/(5-√3) = (5 – √3 + 5 + √3) / ((5+√3)(5-√3)) = 10 / (25 – 3) = 10/22. तीसरा पद 10/(25-3) = 10/22 है। अतः, 10/22 – 10/22 = 0.