InterviewSolution
Saved Bookmarks
| 1. |
1). (b)2). (a)3). (a) and (c)4). (b) and (c) |
|
Answer» Formula to be used:- (a + b)2 = a2 + b2 +2ab Squaring both of them, we get (√6 + √2)2 = 6 + 2 + 2√12 = 8 + 2√12 And (√5 + √3)2 = 5 + 3 + 2√15 = 8 + 2√15 Thus (√6 + √2)2 – (√5 + √3)2 = 2(√12 - √15) < 0 ∴ (√6 + √2)2 – (√5 + √3)2 < 0 ⇒ (√6 + √2)2 < (√5 + √3)2 For a2 < b2 we get a < b if both a and b are positive Thus (√6 + √2) < (√5 + √3). ∴ the incorrect options are (a) and (c). |
|