Question

find two irrational numbers between 0.7 and 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 =√0.7×√539=√0.7×0.734166193 =0.71879976

Hence 2 irrational nos. between 0.7 and 0.77 are 0.734166193 and 0.71879976.

Answer 2

Answer:

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

$\sqrt{ab} \: is \: an \: irrational \: number.$

$then \: irrational \: number \: between \: 0.7 \: and \: 0.77 = \sqrt{0.7 \times 0.77} = \sqrt{539} = 0.734166193$

$and \: another \: number = \sqrt{0.7 \times \sqrt{539 } } = \sqrt{0.7 \times 0.734166193} = 0.71879976$

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