Question

is 1.101001000100001..is an irrational number​

Answer 1

Answer:

yes

Step-by-step explanation:

Now consider the number p = 0.111101001000100001

Now we have p as an irrational number since it is non terminating and non repeating decimal.

So now in the first two places of decimal b and p have similar digits and the third place has 0 whereas p has 1.

Therefore b < p

Also p and a have similar digits in first four places of decimal and in the fifth place p has 0 and a will have 1

Therefore p < a

Hence b < p < a

So p is the irrational number between a and b