show that 7 root 2 is a irrational number Question show that 7 root 2 is a irrational number in progress 0 Math Kinsley 4 weeks 2021-10-26T12:45:12+00:00 2021-10-26T12:45:12+00:00 2 Answers 0 views 0

## Answers ( )

Answer:Let us assume that 7root is a rational number

then, 7root2 = a/b (a,b – co prime)

root 2=a/7b (a,b,7= integers, a/7b = rational)

root2 =rational

But, it contradicts fact that root 2 is a rational number. Hence, our assumption is wrong.

roo2 is not a rational number.

Therefore, root2 is an irrational number.

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