Question

Which of these are irrational numbers?

• A. $\frac{2}{5}$
• B. 1.1111111.......
• C. $59.56878945612.........$
• D. $\sqrt{25}$

Answer 1

The correct option is C $59.56878945612.........$

$\frac{2}{5}$ is a rational number. It is expressed in form of $\frac{p}{q}$.

1.111111111................ is an example of a rational number because the number 1 after the decimal repeats itself. So, 1.111111111................ is a rational number.

$59.56878945612.........$is an irrational number because the number 56878945612 after the decimal do not repeat itself. So, the number $59.56878945612.........$will be an irrational number.

$\sqrt{25}=\sqrt{5\times 5}=5$. So, $\sqrt{25}$ is a rational number.