Which of the following is true statement? - Vidyadip

MCQ

Which of the following is true statement?

✓
Every real number is either rational or irrational.
B
The product of two irrational numbers is an irrational number.
C
The sum of two irrational numbers is an irrational number.
D
Every real number is always rational.

✓

Answer

Correct option: A.

Every real number is either rational or irrational.

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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