show that 3√3 is not a rational number
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Here 3 is the prime number that divides p2, then 3 divides p and thus 3 is a factor of p. Equation 1 shows 3 is a factor of p and Equation 2 shows that 3 is a factor of q. This is the contradiction to our assumption that p and q are co-primes. So, √3 is not a rational number.
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Answer:
Here 3 is the prime number that divides p2, then 3 divides p and thus 3 is a factor of p. Equation 1 shows 3 is a factor of p and Equation 2 shows that 3 is a factor of q. This is the contradiction to our assumption that p and q are co-primes. So, √3 is not a rational number.
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