Question

Insert irrational numbers between 2 and 3

Answer 1

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We see that Irrational Nos. have Non Terminating Non Repeating Decimal Expansion So

2.01001000100001000001......And So on

and

2.5151151115111151111151111115.....Abd so on Can be the Examples.

W also Can Write Square Roots of Non-Perfect Squares as Irrationals.

Therefore

We see 2 is the Square Root of 4

i.e.

$\sqrt{4} = 2$

and

Similarly

$\sqrt{9} = 3$

But We also know

$\sqrt{5} . \\ \sqrt{6} . \\ \sqrt{7} . \\ \sqrt{8}$

Lie in between

$\sqrt{4} = 2\: and \: \sqrt{9} = 3$

So, We can Say that these are also irrational nos. lying between 2 and 3...

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