Question

Classify the following numbers as rational or irrational numbers:
(i) 3-√5
(ii) (3+√7)-√7
(iii) 2√3/3√3
(iv) 1/√2

Answer 1

Answer:

(i) 2−5:

Since 5 is an irrational number, 2−5 is also an irrational number.

(ii) (3+23)−23:

(3+23)−23 =3+23−23=3, which is a rational number.

(iii) 7727=72:

7727=72, which is a rational number.

(iv) 21:

Since 2 is an irrational number, 21, which is also an irrational number.