Show that 3√7 is an irrational number.
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Answer:
hii good evening
Step-by-step explanation:
Let us take on contrary that 3√7 is rational.
Thus there exist two co- prime numbers ,. a & b
Such that,
3√7=a/b
= √7=a/3b
Now,LHS is an irrational number
whereas ,RHS is rational number
This contradiction has arised due to our wrong assumption in beggining.
Therefore, 3√7 is an irrational number.
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