Question

Choose an irrational number between $\frac{7}{5}$ and $\frac{9}{4}.$

• A. $\sqrt{7}$
• B. $\sqrt[3]{327}$
• C. $\sqrt{5}$
• D. $\pi$

Answer 1

The correct option is C $\sqrt{5}$

$\frac{7}{5}=1.4$

$\frac{9}{4}=2.25$

We need to find an irrational number that lies between 1.4 and 2.25 from the given options.

$\pi \approx 3.14,$ an irrational number

$\sqrt{5}\approx 2.23,$ an irrational number

$\sqrt[3]{327}=3,$ a rational number

$\sqrt{7}\approx 2.645,$ an irrational number

$\therefore \sqrt{5}$ is the only irrational number lying between $\frac{7}{5}$ and $\frac{9}{4}$ from the given options.