Question

Find three irrational numbers between 1/2 and 1/3
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Answer 1

If we were to find irrational numbers between a and b, then,

√ab

⇒a=1/2        b=1/3

⇒√1/2×1/3

⇒√1/6 (Thats one)

⇒now, a=1/2      b=√1/6

⇒√[1/2×(√1/6)]

⇒√[(√6)/√2] (Thats two)

⇒now a=√1/6       b=1/3

⇒√[(√6)/√3] (Thats three).