MCQ
Which of the following is not a rational number?
- ✓$\sqrt{2}$
- B$\sqrt{4}$
- C$\sqrt{9}$
- D$\sqrt{16}$
✓
Answer
Correct option: A.
$\sqrt{2}$
$\sqrt{2} = 1.4142135623730951 ...$
$\sqrt{4} = \sqrt{{2}\times{2}} = {2}$
$\sqrt{9} = \sqrt{{3}\times{3}} = {3}$
$\sqrt{16} = \sqrt{{4}\times{4}} = {4}$
As we can see the decimal representation of $\sqrt{2}$ is non$−$terminating non$−$repeating. $\sqrt{2}$ is irrational number.
$\sqrt{4} = \sqrt{{2}\times{2}} = {2}$
$\sqrt{9} = \sqrt{{3}\times{3}} = {3}$
$\sqrt{16} = \sqrt{{4}\times{4}} = {4}$
As we can see the decimal representation of $\sqrt{2}$ is non$−$terminating non$−$repeating. $\sqrt{2}$ is irrational number.
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