Let a be an irrational number. Is (64 )/(a) rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (c) It can be either rational or irrational

Evaluate expression: Evaluate the nature of the expression (64)/(a) where a is an irrational number. Since 64 is a rational number (it can be expressed as a ratio of two integers, 64/1) and a is an irrational number (it cannot be expressed as a ratio of two integers), the division of a rational number by an irrational number results in an irrational number.Nature of the expression: Check for any mathematical errors in the previous step. The reasoning that the division of a rational number by an irrational number results in an irrational number is correct. There are no mathematical errors in this step.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Let
a be an irrational number. Is
(64 )/(a) 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 $\frac{64}{a}$ rational or irrational? $\newline$ Choose $1$ answer: $\newline$ (A) Rational $\newline$ (B) Irrational $\newline$ (C) It can be either rational or irrational

View step-by-step help

Home

Math Problems

Algebra 2

Classify rational and irrational numbers

Full solution

Q. Let

a

be an irrational number. Is

\frac{64}{a}

rational or irrational?

\newline

Choose

1

answer:

\newline

(A) Rational

\newline

(B) Irrational

\newline

Evaluate expression: Evaluate the nature of the expression $(64)/(a)$ where $a$ is an irrational number. $\newline$ Since $64$ is a rational number (it can be expressed as a ratio of two integers, $64/1$ ) and $a$ is an irrational number (it cannot be expressed as a ratio of two integers), the division of a rational number by an irrational number results in an irrational number.
Nature of the expression: Check for any mathematical errors in the previous step. $\newline$ The reasoning that the division of a rational number by an irrational number results in an irrational number is correct. There are no mathematical errors in this step.