Question

Classify the following numbers as rational or irrational.
(1) √25
(2) √331
(3) 0.41757575...
(4) 7.808808880...
(5) π/7

Answer 1

rational :- 1, 5
irrational :- 2,3,4

Answer 2

Given ; (1) √25

(2) √331

(3) 0.41757575...

(4) 7.808808880...

(5) π/7

To Find; Which of the following are rational numbers

Solution ; (1) √25

On solving √25 we get 5 which is a rational number

(2) √331

331 is a prime number and on solving its the root we will not get a rational number.

(3) 0.41757575...

The given number is non terminating non-repeating hence it is not a rational number

(4) 7.808808880...

The given number is non terminating non-repeating hence it is not a rational number

(5) π/7

The given number is non terminating non-repeating hence it is not a rational number

Hence only the first number is rational