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The number ss is irrational. Which statement about s+4s + 4 is true?\newlineChoices:\newline(A)s+4s + 4 is rational.\newline(B)s+4s + 4 is irrational.\newline(C)s+4s + 4 can be rational or irrational, depending on the value of ss.

Full solution

Q. The number ss is irrational. Which statement about s+4s + 4 is true?\newlineChoices:\newline(A)s+4s + 4 is rational.\newline(B)s+4s + 4 is irrational.\newline(C)s+4s + 4 can be rational or irrational, depending on the value of ss.
  1. Identify Number Nature: Identify the nature of the number 44.44 is a rational number because it can be expressed as a fraction (41\frac{4}{1}).
  2. Consider Number Sum: Consider the sum of an irrational number and a rational number.\newlineThe sum of an irrational number ss and a rational number 44 is always irrational.
  3. Determine Truth: Determine the truth of the given statements based on the previous step.\newlineSince ss is irrational and 44 is rational, their sum s+4s + 4 is irrational. Therefore, the correct statement is that s+4s + 4 is irrational.

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