Ex 1.3,9

Transcript

Ex1.3, 9 Classify the following numbers as rational or irrational: (i) √23 We cant write 23 as square of some number So √23 is not it a perfect square, Hence ,it is an irrational number. Ex1.3, 9 Classify the following numbers as rational or irrational: (ii) √225 √225 = √152 = 15 = 15/1 Since it is of the form 𝑝/𝑞 , It is a rational number Ex1.3, 9 Classify the following numbers as rational or irrational: (iii) 0.3796 0.3796 it is a terminating decimal therefore, it is a rational number. Ex1.3, 9 Classify the following numbers as rational or irrational: (iv) 7.478478… 7.478478 … = 7 .(478) ̅ It is a non-terminating & repeating decimal therefore, it is a rational number. Ex1.3, 9 Classify the following numbers as rational or irrational: (v) 1.101001000100001… 1.10100100010000 … It is a non-terminating , non-repeating decimal therefore, it is a irrational number.