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The number ss is irrational. Which statement about 28+s\sqrt{28} + s is true?\newlineChoices:\newline(A) 28+s\sqrt{28} + s is rational.\newline(B) 28+s\sqrt{28} + s is irrational.\newline(C) 28+s\sqrt{28} + s can be rational or irrational, depending on the value of ss.

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Q. The number ss is irrational. Which statement about 28+s\sqrt{28} + s is true?\newlineChoices:\newline(A) 28+s\sqrt{28} + s is rational.\newline(B) 28+s\sqrt{28} + s is irrational.\newline(C) 28+s\sqrt{28} + s can be rational or irrational, depending on the value of ss.
  1. Identify Type of Number: Identify whether 28\sqrt{28} is a rational or irrational number.\newline2828 is a non-perfect square, which means that its square root cannot be expressed as a simple fraction. Therefore, 28\sqrt{28} is an irrational number.
  2. Sum of Irrational Numbers: Consider the sum of two irrational numbers, 28\sqrt{28} and ss. The sum of two irrational numbers can be either rational or irrational. It is not guaranteed to be one or the other without additional information about the specific numbers involved.
  3. Analyze Given Choices: Analyze the given choices in the context of the sum of 28\sqrt{28} and ss. If ss were chosen to be the negative of 28\sqrt{28}, then the sum would be 00, which is rational. If ss were any other irrational number not directly related to 28\sqrt{28}, the sum would likely remain irrational. Therefore, the sum 28+s\sqrt{28} + s can be rational or irrational, depending on the value of ss.

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