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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Definition of Rational and Irrational Numbers: Let's define what a rational and an irrational number is. A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, with the denominator q not equal to zero. An irrational number is a number that cannot be expressed as a simple fraction - it's decimal goes on forever without repeating.Representation of a as a Rational Number: Since a is a non-zero rational number, it can be written in the form p/q, where p and q are integers and q is not zero.Representation of b as an Irrational Number: Since b is an irrational number, it cannot be written in the form of a simple fraction, and its decimal representation is non-repeating and non-terminating.Multiplication of Rational and Irrational Numbers: When we multiply a rational number by an irrational number, the result is an irrational number. This is because the non-repeating, non-terminating decimal of the irrational number cannot be canceled out or simplified by multiplication with a rational number.Product of a and b is Irrational: Therefore, the product a*b is an irrational number, since a non-zero rational number (which has a terminating or repeating decimal representation) cannot turn the non-terminating, non-repeating decimal of an irrational number into a terminating or repeating decimal.

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

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Let aaa be a non-zero rational number and bbb be an irrational number. Is a×ba \times ba×b rational or irrational?\newline Choose 111 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational

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