find two irrational numbers between 0.7 and 0.77
Answers
Answer:
o.75
0.76
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Answer:
If p,q are two rational numbers (p<q), then an irrational number in the range [p,q] is, p+(q−p)/√2. And using this trick you can make infinite number of irrational numbers within range [p,q]. You just need to keep adding a real part which keeps the number, n<q.
For example, in your case p=0.7,q=0.77
0.7+0.77−0.72√=0.7130...
Couple of next irrational numbers:
0.1+0.7+0.77−0.72√=0.7230...
0.2+0.7+0.77−0.72√=0.7330...
0.3+0.7+0.77−0.72√=0.7430...
0.4+0.7+0.77−0.72√=0.7530...
0.5+0.7+0.77−0.72√=0.7630...
Stop here before 0.7730… because it will cross 0.77 ( q )
At that moment if you want more irrational numbers between, you can rather add something like,
0.001,0.002,…,∞