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Is the number 4+−34 + -3 rational or irrational?\newlineChoices:\newline(A) rational\newline(B) irrational

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Full solution

Q. Is the number 4+−34 + -3 rational or irrational?\newlineChoices:\newline(A) rational\newline(B) irrational
  1. Evaluate Expression: Evaluate 4+(−3)4 + (-3). \newline4+(−3)4 + (-3)\newline=4−3= 4 - 3\newline=1= 1
  2. Identify Number Type: Identify whether 11 is a rational or irrational number.\newline11 can be expressed as the fraction 11\frac{1}{1}, which is the quotient of two integers (where the denominator is not zero).\newlineTherefore, 11 is a rational number.
  3. Conclusion: Since 4+(−3)4 + (-3) equals 11, and 11 is a rational number, the original expression 4+(−3)4 + (-3) is also a rational number.

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