Question

8. Find atleast two irrational numbers between 2 and 3.

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Answer 1

$\huge\underbrace\mathbf\pink{Answer}$

Powers of 2 are 2,4,8,16,32

and powers of 3 are 3,9,27,81,243

Hence √7, 3√17, 4√54 and 5√178 are all irrational numbers between 2 and 3.

Answer 2

${\huge{\underbrace{\bf{\orange{Answer}}}}}$

Powers of 2 are 2,4,8,16,32

Powers of 2 are 2,4,8,16,32and powers of 3 are 3,9,27,81,243

Powers of 2 are 2,4,8,16,32and powers of 3 are 3,9,27,81,243Hence √7, 3√17, 4√54 and 5√178 are all irrational numbers between 2 and 3.