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The number $u$ is irrational. Which statement about $\sqrt{45} + u$ is true?$\newline$Choices:$\newline$(A) $\sqrt{45} + u$ is rational.$\newline$(B) $\sqrt{45} + u$ is irrational.$\newline$(C) $\sqrt{45} + u$ can be rational or irrational, depending on the value of $u$.