# Find two irrational numbers between 2 and 2.5. - Mathematics

Sum

Find two irrational numbers between 2 and 2.5.

#### Solution

If a and b are two distinct positive rational numbers such that ab is not a perfect square of a rational number, then  is an irrational number lying between a and b.

∴ Irrational number between 2 and 2.5 is = sqrt(2xx2.5)=sqrt5

Similary, irrational number between 2 and sqrt5

So required numbers are sqrt5

Concept: Proofs of Irrationality
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