Question

Write 2 irrational numbers between 0.7 and 0.77
✨Only using Mean Method✨

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Answer 1

Answer:

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Step-by-step explanation:

How can I find two irrational numbers between 0.7 and 0.77?

General approach:

If p,q are two rational numbers (p<q), then an irrational number in the range [p,q] is, p+q−p2√. And using this trick you can make infinite number of irretional 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,…,∞

Answer 2

Answer:

?

9th

Maths

Number Systems

Real Numbers and their Decimal Expansion

Find two irrational numbers...

MATHS

Find two irrational numbers between 0.7 and 0.77

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ANSWER

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

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