Given:To find: is an irrational number. Solution: (Were p and q is a co-prime)Squaring both the side in above equationif 3 is a factor of Then, 3 will also be a factor of p {where m is a integer}Squaring both sides we getSubstitute the value of in the equation If 3 is a factor of Then, 3 will also be factor of qHence, 3 is a factor of p & q bothSo, our assumption that p & q are co-prime is wrong.So, is an "irrational number". Hence proved.
