Question

Classify the following is rational or irrational(a) √45​

Answer 1

The numbers that can be expressed in the form of a fraction are called rational numbers. While that numbers that cannot be expressed in the form of a fraction are called irrational numbers.

$\sqrt{45} =\sqrt{3 \times 3 \times 5}$

$\sqrt{45} =3\sqrt{5}$

$3\sqrt{5}$ is an irrational number, it cannot be expressed in the form of a fraction.