Decide whether the statement is true or false. If it is false, tell why. -If k is a prime number, then x² = k will have two rational solutions. A) False; the equation will have no real number solutions. B) False; the solutions will be irrational because a prime number cannot be a perfect square. C) True

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The statement is false because if k is a prime number, it cannot be a perfect square, and thus the solutions to x² = k will be irrational.

Decide Whether the Statement Is True or False