Question

Read each of the following numbers carefully-
$87,54,0,-13,-4.7,\sqrt{7},217,\sqrt{15},-87,3\sqrt{7},4.807,0.002,\sqrt{16}$ and $2+\sqrt{3}.$

From the given numbers, which are rational numbers?

• A. $0,-13,-4.7,$ 2$\frac{1}{7}$, $-\frac{8}{7}$, $4.807,0.002$ and $\sqrt{16}$
• B. $87,54,0,-13,-4.7,$ 2$\frac{1}{7}$, $-\frac{8}{7}$, $4.807,0.002$ and $\sqrt{16}$
• C. $87,54,0,-13,-4.7,$ 2$\frac{1}{7}$, $-\frac{8}{7}$,$4.807,0.002$
• D. $0,-13,-4.7,$ 2$\frac{1}{7}$, $-\frac{8}{7}$, $44.807,0.002$

Answer 1

The correct option is B $87,54,0,-13,-4.7,$ 2$\frac{1}{7}$, $-\frac{8}{7}$, $4.807,0.002$ and $\sqrt{16}$

In the given list of numbers,

$\sqrt{7},\sqrt{15},3\sqrt{7}$ and $2+\sqrt{3}$ are irrational numbers as they cannot be expressed as a ratio, i.e. $\frac{p}{q}$ form.

Therefore, the rational numbers among the given list are $87,54,0,-13,-4.7,217,-87,4.807,0.002$ and $\sqrt{16}=4$.

Therefore, option $B$ is correct.