MCQ
An irrational number between $\sqrt{2}$ and $\sqrt{3}$ is
- A$\sqrt{2}+\sqrt{3}$
- B$\sqrt{2} \times \sqrt{3}$
- C$\sqrt{\sqrt{2+3}}$
- ✓$\sqrt{\sqrt{2} \times \sqrt{3}}$
✓
Answer
Correct option: D.
$\sqrt{\sqrt{2} \times \sqrt{3}}$
(d)
$\sqrt{a b}$ is a real number between two real numbers a and b. Therefore, $\sqrt{\sqrt{2} \times \sqrt{3}}$ is an irrational number between $\sqrt{2}$ and $\sqrt{3}$.
$\sqrt{a b}$ is a real number between two real numbers a and b. Therefore, $\sqrt{\sqrt{2} \times \sqrt{3}}$ is an irrational number between $\sqrt{2}$ and $\sqrt{3}$.
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