Question

Which of the following irrational numbers lie between $4$ and $7$?

• A. $\sqrt{25}$
• B. $\sqrt{19}$
• C. $\sqrt{47}$
• D. $\sqrt{50}$

Answer 1

Answer: (B), (C)

$\sqrt{47}$
$\sqrt{19}$

$4^2=16$

$5^2=25$

$6^2=36$

$7^2=49$

$\Rightarrow \sqrt{1}9$ and $\sqrt{4}7$ are irrational numbers which lie between $4$ and $7$

$\sqrt{2}5=5$ which is a rational number