MCQ
The difference of a rational and an irrational number is always :
  • an irrational number
  • B
    a rational number
  • C
    None of these
  • D
    an integer

Answer

Correct option: A.
an irrational number
Rational Numbers say $\frac{4}9,{\frac{\text{p}}{\text{q}}},\sqrt{4,}$ fraction, whole numbers, terminating decimal, repeating decimal, perfect square, can be expressed as a ratio of two integers provided the denominator is not equal to zero Irrational Numbers, $\sqrt{2},\sqrt{5},\sqrt{7},\pi$ not a fraction, decimal does not repeat, decimal does not end, non $-$ perfect square, we cannot express as a ratio but both can be expressed as decimal numbers.
The difference between a rational and an irrational number is always an irrational number.
e.g. rational $-$ irrational $=$ irrational say $2-\sqrt{2} =$ irrational

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