Question

show that reciprocal of irrational number √2 is irrational.
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Answer 1

Answer:

Step-by-step explanation:

we know that root2 is irrational

lets assume that the number 1/root2 is rational

1/root2 = p/q where , q is not equal to zero and p and q do not have the same factors

1/ root2 = p/q

root2 = q/p*1

here on the RHS p ,q and 1 are integers . hence they are rational.

but as root 2 is irrational

LHS is not equal to RHS

hence reciprocal of irrational number root2 is rational

Answer 2

Answer:

refers to the attachment