InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Show that ` 2sqrt3` is irrational. |
|
Answer» Let us assume to the contrary, that ` 2sqrt3` is rational. Then, there exist co-prime a and b (` b ne 0)` such that ` 2 sqrt3= a/b Rightarrow sqrt3 = a/(2b)` Thus, ` sqrt3` is also rational. But, this contradicts that fact that ` sqrt3` is irrational,. So, our assumption is incorrect. Hence ` 2sqrt3` is irrational. |
|