Question

Which of the following irrational numbers lies between $\sqrt{2}$ and $\sqrt{7}$

• A. $\sqrt{4}$ and $\sqrt{5}$
• B. $\sqrt{5}$ and $\sqrt{6}$
• C. $\sqrt{4}$ and $\sqrt{6}$
• D. $\sqrt{3}$ and $\sqrt{4}$

Answer 1

The correct option is B $\sqrt{5}$ and $\sqrt{6}$

Writing the numbers in ascending order:

$\sqrt{2}<\sqrt{3}<\sqrt{4}<\sqrt{5}<\sqrt{6}<\sqrt{7}$

here $\sqrt{4}=2,$ That is not an irrational number.

option D is correct.