Question

find two irrational number between 0.71 and0.72

Answer 1

Use the property of geometric means. Between any 2 numbers a and b, provided ab is not a perfect square, ab−−√ is an irrational number.

In your case, ab=0.7×0.77=0.539. So 0.539−−−−√ is one irrational number.

For the other irrational number, your choices are 0.7×0.539−−−−√−−−−−−−−−−√ or 0.77×0.539−−−−√−−−−−−−−−−−√.

N.B.: After finding0.539−−−−√ as the first irrational number, you can also find the arithmetic mean of 0.7 (or 0.77) and 0.539−−−−√. They are possible answers too!

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Answer 2

Hello mate!

Two rational numbers between 0.71 and 0.72 are :
0.711, 0.712, 0.713,........ And many more
Actually there are infinite possible answer....

Hope it helps!