Question

show that √2/3 is irrational

Answer 1

Let √2/ 3 is a rational number. ∴ √2/ 3 = p/q where p and q are some integers and HCFp q = 1 ….. ... Thus √2 3 is irrational.

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Answer 2

Step-by-step explanation:

Let √2/ 3 is a rational number. ∴ √2/ 3 = p/q where p and q are some integers and HCFp q = 1 …..1From 2 and 3 2 is a common factor of both p and q which contradicts 1. Hence our assumption is wrong. Thus √2 3 is irrational.

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