Question
Which of the following is true statement ?
✓
Answer
- Every real number is either rational or irrational.
Solution :
Consider, $(2+\sqrt{3})$ and $(2-\sqrt{3})$ which are two irrational number.
$(2+\sqrt{3})+(2-\sqrt{3})=4,$ which is a rational number.
Consider, $\sqrt{3}$ and $\frac{1}{\sqrt{3}}$ which is a rational number.
Every real number can either be a rational number or an irrational number.
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