Let a be an irrational number. Is a*25 rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (c) It can be either rational or irrational

Evaluate properties of irrational numbers: Evaluate the properties of irrational numbers when multiplied by a rational number. An irrational number is a number that cannot be expressed as a fraction of two integers. A rational number is a number that can be expressed as a fraction of two integers. When you multiply an irrational number by a rational number, the product is always irrational. This is because the rational number can be expressed as a fraction, and multiplying this fraction by the irrational number will not result in a number that can be expressed as a fraction of two integers.Apply property to given problem: Apply the property to the given problem. Since 25 is a rational number (it can be expressed as the fraction 25/1), and we are given that 'a' is an irrational number, the product a*25 will be irrational. This is because the multiplication of a rational number by an irrational number results in an irrational number.

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Let
a be an irrational number. Is
a*25 rational or irrational?
Choose 1 answer:
(A) Rational
(B) Irrational
(c) It can be either rational or irrational

Let $a$ be an irrational number. Is $a \times 25$ 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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Math Problems

Algebra 2

Classify rational and irrational numbers

Full solution

Q. Let

a

be an irrational number. Is

a \times 25

rational or irrational?

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

\newline

Evaluate properties of irrational numbers: Evaluate the properties of irrational numbers when multiplied by a rational number. $\newline$ An irrational number is a number that cannot be expressed as a fraction of two integers. A rational number is a number that can be expressed as a fraction of two integers. When you multiply an irrational number by a rational number, the product is always irrational. This is because the rational number can be expressed as a fraction, and multiplying this fraction by the irrational number will not result in a number that can be expressed as a fraction of two integers.
Apply property to given problem: Apply the property to the given problem. $\newline$ Since $25$ is a rational number (it can be expressed as the fraction $\frac{25}{1}$ ), and we are given that ' $a$ ' is an irrational number, the product $a \cdot 25$ will be irrational. This is because the multiplication of a rational number by an irrational number results in an irrational number.