Find three irrational number between √2 and√3?
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lets find the squares of √2 and√3.
(√2)²= 4 and (√3)²=9
The numbers between 4 and 9 are --
4 < 5 < 6 < 7 < 8 <9
after finding roots of the above numbers we get ---
√2 < √5 < √6 < √7 < √8 <√3
{ We know that square roots of 4 and 9 are also 2 and 3 respectively but here according to the question we have to write √2 and √3}
so, the irrational numbers between √2 and √3 are √5 ,√6 ,√7
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