Question

Two irrational numbers between 5 and 6 are

• A. $\sqrt{35}$ and $\sqrt{37}$
• B. $\sqrt{29}$ and $\sqrt{30}$
• C. None of these.
• D. $\sqrt{24}$ and $\sqrt{26}$

Answer 1

The correct option is B $\sqrt{29}$ and $\sqrt{30}$

Let us write 5 and 6 as square root
Then, $5=\sqrt{25}$ and $6=\sqrt{3}6$
Now, take the numbers
$\sqrt{25}<\sqrt{26}<\sqrt{27}<\sqrt{28}<\sqrt{29}<\sqrt{30}<\sqrt{31}<\sqrt{32}<\sqrt{36}$