Question

Find three irrational number between √2 and√3?

Answer 1

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