Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The number aa is irrational. Which statement about a+5a + 5 is true?\newlineChoices:\newline(A)a+5a + 5 is rational.\newline(B)a+5a + 5 is irrational.\newline(C)a+5a + 5 can be rational or irrational, depending on the value of aa.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Properties of operations on rational and irrational numbersright chevron icon

Full solution

Q. The number aa is irrational. Which statement about a+5a + 5 is true?\newlineChoices:\newline(A)a+5a + 5 is rational.\newline(B)a+5a + 5 is irrational.\newline(C)a+5a + 5 can be rational or irrational, depending on the value of aa.
  1. Identify Number Nature: Identify the nature of the number 55.55 is a rational number because it can be expressed as a fraction 51\frac{5}{1}.
  2. Consider Number Sum: Consider the sum of an irrational number and a rational number. The sum of an irrational number aa and a rational number 55 is always irrational. This is because adding a rational number to an irrational number cannot result in a number that can be expressed as a fraction.
  3. Determine Correct Statement: Determine the statement that correctly describes a+5a + 5.\newlineSince aa is irrational and 55 is rational, their sum a+5a + 5 must be irrational.

More problems from Properties of operations on rational and irrational numbers

Question
The number t t is irrational. Which statement about t−47 t - \sqrt{47} is true?\newlineChoices:\newline(A) t−47 t - \sqrt{47} is rational. \newline(B) t−47 t - \sqrt{47} is irrational. \newline(C) t−47 t - \sqrt{47} can be rational or irrational, depending on the value of t t .
Get tutor helpright-arrow

Posted 2 months ago

Question
Is (314)⋅(771)(\frac{3}{14})\cdot(\frac{7}{71}) rational or irrational?\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the following number rational or irrational?\newlineπ5\frac{\pi}{5}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 1 month ago

Question
Is the following number rational or irrational?\newline−3+π-3+\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the following number rational or irrational?\newline−0.32‾-0.\overline{32}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline121\sqrt{121}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline0.55550.5555\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline7.117.11\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline0.30.9\frac{0.3}{0.9}\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 4 months ago

Question
Is the following number rational or irrational?\newline−11π-11\pi\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational
Get tutor helpright-arrow

Posted 2 months ago

View all (57)