Question

Classify the numbers given below as rational or irrational.
(i) 2 1/2 (ii) √24 (iii) √16 (iv) 7.7 (7 in decimal place is recurring)
(v) √(4/9) (vi) −√30 (vii) −√81

Answer 1

1. rational
2. irrational
3. rational
4. rational
5. rational
6. irrational
7. rational
...
hope it helps

Answer 2

i. 21/2=10.5 hence it is rational
ii.root 24= 4.898979... hence it is irrational
iii.root 16 =4 hence it rational no. because non terminating recurring is rational rational
iv. 7.7 (7 in decimal place is recurring)= rational no. because non terminating recurring is rational
v. root (4/9) = 2/3 =6.666666.... rational no. because non terminating recurring is rational
vi. -root 30= -5.477225... hence it is irrational
vii.-root 81=9 hence it is rational