Question

insert three rational and irrational number between one by eight and one by six

Answer 1

Three rational numbers between 1/8 and 1/6 are :

First find the lowest common multiple of the denominators which is 24.

1/8*3/3=3/24 ; 1/6*4/4=4/24

Now multiply both the numbers by 4.

3/24*4/4=12/106 ; 4/24*4/4=16/106

Therefore the numbers between 1/8 and 1/6 are 13/106,14/106,15/106.

Now, irrational numbers between 1/8 and 1/6 are:

1/8=0.125

and

1/6=0.166(approx)

Therefore, irrational numbers between 1/8 and 1/6 are
0.1320220222022220...
0.14331331133111331111......
0.15115551155555.......

Hope it helps you!
Regards!

Answer 2

Answer:

Between any two numbers, however large or small the difference between them may be, we have infinite rational as well as irrational numbers. As such between 1 and 6 too we have infinite irrational numbers. Irrational numbers in their decimal form are non-repeating and non-terminating numbers