Saved Bookmarks
| 1. |
7) Show that 5-3v3 is an irrational, given that v3 is irrational. |
|
Answer» Suppose 5 -3√3 is rational .Let5 +3√3= r where r is a rational.∴ (5 -3√3)^2= r^2∴ 25+27 -30√3 = r^2∴√3 = (r^2- 52) / 30Now , LHS =√3 is an irrational number .RHS (r^2- 7) / 2 is arational number .But rational number cannot be equal to an irrational.∴our supposition is wrong.∴ 5 + 3√3 is irrational . |
|