Question

Classify the following numbers as rational or irrational.
√123
√256​

Answer 1

(1)  23 =4.795831523..........

The decimal expansion is non terminating non recurring.

∴ 23  is a irrational number.

(2) 225 =15

∴ 225 is a rational number.

(3) 0.3796 is the decimal expansion is terminating.

So 0.3796 is a rational number.

(4) 7.478478......=7.

478

 is the decimal expansion is non termination and recurring.

7.478478...... is a rational number.

(5) 1.101001000100001...... is the decimal expansion is non termination and non recurring. 71.101001000100001...... is a irrational number.