Question

find an irrational numbers between 0.7 and 0.77



tell me how can we find it step by step plzz..​

Answer 1

Step-by-step explanation:

1) We know that decimal expansion of an irrational number is non - terminating and non - recurring.

2) Therefore, we need to find a number with such a pattern between 0.7 and 0.77 that it will never repeat itself and will never terminate.

3) Therefore we can get many numbers like this. For eg :-

i) 0.700700070000... [Note - ... represent that 0s keep on increasing and this number will never end]

ii) 0.7077077707777...

iii) 0.707077070707770...

Like this we can get infinitely many patterns and numbers whose decimal expansion will never terminate.