Question

The following prime number have decimal expansion as given below. In each case, state whether they are rational OR not. If they are rational and expressed in the form p/q,where p, q are integers, q not equal to 0 andp, qare co-prime, then what can you say about the prime factors of q? i) 37.09158 II) 423.0456704567........ iii)8.901001000100001....... iv) 2.3476817681........

Answer 1

Answer:

1) x =37.09158

we get multiply by 100000

100000=3709158.09158

sub 1 and 2 equation

9999x= 1 1.00000

x= 11/9999