Let pe IN be a prime number. Find all rational solutions of x - p =...

 

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Let pe IN be a prime number. Find all rational solutions of x² - p = 0. 3b) Let p = IN be a prime number. Find all rational solutions of x" -p=0, where n € N, n ≥ 2. € 3c) Let p = N be a prime number. Prove that /p is irrational for all n € N, n > 2. Hint: Use problem 3b) above. Let pe IN be a prime number. Find all rational solutions of x² - p = 0. 3b) Let p = IN be a prime number. Find all rational solutions of x" -p=0, where n € N, n ≥ 2. € 3c) Let p = N be a prime number. Prove that /p is irrational for all n € N, n > 2. Hint: Use problem 3b) above.