Question

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Answer 1

Answer:

1. √7=p/q. we divide by the common factor to get √7 = a/b were a and b are co-prime number. that is a and b have no common factor. This is contridite to the fact that a and b have no common factor
2. Let us assume that square root 11 is rational. Now since it is a rational number, as we have assumed, we can write it in the form p/q, where p, q ∈ Z, and coprime numbers, i.e., GCD (p,q) = 1. As we know, 11 is a prime number. Therefore, the square root of 11 is irrational.

Answer 2

Answer:

Lets assume that√7 is rational number. ie √7 = p/q . we divide by the common factor to get√7 = a/b were a and b are co - prime number . that is a and b have no common factor .

√11 is not a rational number.

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