rational number between square root of 2 and square root of 3 is
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Answer:
1.5 and 1.6 are the rational numbers
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We have
√2=1.414211356.….. and √3=1.732050807......
If we consider the numbers 1.5 and 1.6 we find they both of them are rational numbers such that √2<1.5<1.6<√3.
Hence the two rational numbers between √2 and √3 are 1.5 and 1.6 .
Now consider the numbers
a= 1.505005000... and b= 1.6161161116.......
Clearly, a and b are rational numbers such that √2<a<b<3.
Hence a and b are two irrational numbers between√2 and √3.
Step-by-step explanation:
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