Question

Three rational numbers between $\sqrt{3}$ and $\sqrt{5}$ are?

• A. $\frac{6}{5}$, $\frac{21}{10}$ and $\frac{11}{5}$
• B. $\frac{9}{5}$, $\frac{21}{10}$ and $\frac{11}{5}$
• C. $\frac{8}{5}$, $\frac{21}{10}$ and $\frac{11}{5}$
• D. $\frac{7}{5}$, $\frac{21}{10}$ and $\frac{11}{5}$

Answer 1

The correct option is B $\frac{9}{5}$, $\frac{21}{10}$ and $\frac{11}{5}$

Let us consider 3.24, 3.61, 4, 4.41 and 4.84
Now, we have
$\sqrt{3.24}=1.8,\sqrt{3.61}=1.9,\sqrt{4}=2,\sqrt{4.41}=2.1$, and $\sqrt{4.84}=2.2$.

$\sqrt{3}<\sqrt{3.24}<\sqrt{3.61}<\sqrt{4}<\sqrt{4.41}<\sqrt{4.84}<\sqrt{5}$

$\sqrt{3}<1.8<1.9<2<2.1<2.2<\sqrt{5}$

$\sqrt{3}<\frac{18}{10}<\frac{19}{10}<\sqrt{2}<\frac{21}{10}<\frac{22}{10}<\sqrt{5}$

$\sqrt{3}<\frac{9}{5}<\frac{19}{10}<\sqrt{2}<\frac{21}{10}<\frac{11}{5}<\sqrt{5}$