Saved Bookmarks
| 1. |
Summation or Subtraction of rational number and irrational number is always a/an __________ number.(a) natural(b) whole number(c) rational number(d) irrational numberThe question was posed to me in an online interview.Question is taken from Representing Real Numbers on the Number Line & Real Numbers Operations in division Number Systems of Mathematics – Class 9 |
|
Answer» RIGHT choice is (d) irrational number Explanation: Let’s TAKE one rational number and one irrational number for example. Consider 3 and \(\SQRT{2}\) We know that 3 is rational number and \(\sqrt{2}\) is irrational number. By adding 3 and \(\sqrt{2}\), we get 3+\(\sqrt{2}\) We know that \(\sqrt{2}\) = 1.414213… Since the expansion of \(\sqrt{2}\) is non-terminating and non-recurring, expansion of 3+\(\sqrt{2}\) will also be non-terminating and non-recurring. Therefore result of summation will be irrational number. The same will happen if we subtract \(\sqrt{2}\) from 3. Hence we can SAY that Summation or Subtraction of rational number and irrational number is ALWAYS irrational number. |
|