Let a be a non-zero rational number and b be an irrational number. Is (a)/(b) rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (C) It can be either rational or irrational

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Let  a be a non-zero rational number and  b be an irrational number. Is  (a)/(b) rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (C) It can be either rational or irrational

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Identify nature of numbers: Identify the nature of the numbers involved. a is a non-zero rational number, which means it can be expressed as the ratio of two integers, where the denominator is not zero. b is an irrational number, which means it cannot be expressed as the ratio of two integers.Division of rational by irrational: Consider the division of a rational number by an irrational number. The division of a rational number by an irrational number results in an irrational number. This is because if (a)/(b) were rational, then we could express (a)/(b) as the ratio of two integers, say p/q. Multiplying both sides by b would give a = (p/q) * b. Since a and q are both rational, (p/q) * b would have to be rational for a to be rational. However, this would imply that b is a factor of a rational number, which would make b rational. This contradicts the fact that b is irrational.Conclude nature of (a)/(b): Conclude the nature of (a)/(b). Since the division of a non-zero rational number by an irrational number results in an irrational number, (a)/(b) is irrational.

Let $a$ be a non-zero rational number and $b$ be an irrational number. Is $\frac{a}{b}$ rational or irrational? Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational

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Let $a$ be a non-zero rational number and $b$ be an irrational number. Is $\frac{a}{b}$ rational or irrational? Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational