Question

Find two irrational numbers between.0.7and 0.77?

Answer 1

Between any 2 numbers a and b, provided ab is not a perfect square,

√ab is an irrational number.

Then irrational number between 0.7 and 0.77=

√0.7×0.77= √539

=0.734166193

And another number =

$\sqrt{0.7 \times \sqrt{539} }$

=

$\sqrt{0.7 \times 0.734166193}$

=0.71879976