Find two irrational numbers between 0.7 and 0.77

1.	Find two irrational numbers between 0.7 and 0.77
Answer» .7,.√756,√.765 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−−−−√−−−−−−−−−−−√.

Answer»

.7,.√756,√.765

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−−−−√−−−−−−−−−−−√.

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