Find 2 irrational numbers between 2 and 2.5

If a and b are two distinct positive numbers such that product of ab is not a prefect square of a rational number

Hence Under root ab is an irrational number lying between a and b

Therefore irrational number between 2 and 2.5

= Under root of 2* 2.5 = Under root 5

Now, an irrational number between 2 and Under root 5

= Under Root of 2* Under root 5 = Under root ( 2* Under Root 5)

Two irrational number between 2 and 2.5 are Under root 5 and Under root ( 2* Under Root 5)

If a and b are two distinct positive numbers such that product of

abis not a prefect square of a rational numberHence

Under root abis an irrational number lying between a and bTherefore irrational number between 2 and 2.5

=

Under rootof 2* 2.5 =Under root5Now, an irrational number between 2 and

Under root5=

Under Root of2* Under root 5 =Under root( 2* Under Root 5)Two irrational number between 2 and 2.5 are

Under root5 andUnder root( 2* Under Root 5)