Question

show that 7 root 2 is a irrational number

Answer 1

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.