Question

find two rational number and two irrational number between √2 and√3​

Answer 1

irrational between √2and √3 number is √2+√3/2 (proof that root 2+ root 3 is irrational: if it where rational than so would be it's square but (root 2 + root 3)^2=5+2√6 and √6 is irrational). for a rational number root 2 < √3 the decimal expenion of root 2 =1.4142135.....

so, cut of any part and round the last number up and folia you have a rational number for example , 1.414= 283/200=1 whole 83/200

I hope this will help u

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