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The number uu is rational. Which statement about 5+u5 + u is true?\newlineChoices:\newline(A) 5+u5 + u is rational.\newline(B) 5+u5 + u is irrational.\newline(C) 5+u5 + u can be rational or irrational, depending on the value of uu.

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Q. The number uu is rational. Which statement about 5+u5 + u is true?\newlineChoices:\newline(A) 5+u5 + u is rational.\newline(B) 5+u5 + u is irrational.\newline(C) 5+u5 + u can be rational or irrational, depending on the value of uu.
  1. Identify Number 55: Identify the nature of the number 55. 55 is a whole number, which is also a rational number because it can be expressed as the fraction 51\frac{5}{1}.
  2. Sum of Rational Numbers: Understand the property of the sum of two rational numbers.\newlineThe sum of two rational numbers is always a rational number. This is because if you have two fractions ab\frac{a}{b} and cd\frac{c}{d}, their sum ad+bcbd\frac{ad + bc}{bd} is also a fraction, which means it is a rational number.
  3. Apply Property to Problem: Apply the property to the given problem.\newlineSince uu is a rational number and 55 is a rational number, their sum (5+u)(5 + u) must also be a rational number.

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