Question

Prove that root 7 is irrational

Answer 1

Answer:

Step-by-step explanation:

ok lets assume root 7 to be rational

=> root 7 can be written in the form of p/q where p and q are co primes

root7 = p/q

squaring both sides

7 = p^2/q^2

=>q^2=p^2/7

this contradicts the fact p and q are co prime

therefore it contradicts the fact that root 7 is co prime

=> root 7 is irrational

Answer 2

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