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1)Between any 2 rational numbers there exist infinitely many irrational number.
0.2010010001...,0.2020020002....are two such irrational numbers.
2)√2=1.414 and √5 = 2.236...
Therefore, a rational number between √2 and √5 are 1.412,1.413,1.414.
3)1)√7=irrational number
2)√4=2=rational number
3)(√2-2)^2=(√2)^2-2^2
=2-4=-2=irrational number.
4)(√2+√3)^2
=(√2)^2+(√3)^2
=2+3=5=rational number.
5)(2-√2)(2+√2)
=2^2-(√2)^2
=4-2
=2=rational number
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