Insert two irrational number between ?2 and ?7

Answers (1)

Consider the squares of sqrt2 and sqrt7
(sqrt2)^2=2, and, (sqrt7)^2=7
Now 2<3<5<7
Rightarrow sqrt2<sqrt3<sqrt5<sqrt7
Hence two irrational number between sqrt2 and sqrt7 are sqrt3 and sqrt5.

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