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:

is the base of the natural logarithm. The number ss is rational. Which statement about e+se + s is true?\newlineChoices:\newline(A) e+se + s is rational.\newline(B) e+se + s is irrational.\newline(C) e+se + s can be rational or irrational, depending on the value of ss.

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. is the base of the natural logarithm. The number ss is rational. Which statement about e+se + s is true?\newlineChoices:\newline(A) e+se + s is rational.\newline(B) e+se + s is irrational.\newline(C) e+se + s can be rational or irrational, depending on the value of ss.
  1. Identify the nature: Identify the nature of the number ee. The number ee is known to be an irrational number because it cannot be expressed as a fraction of two integers and its decimal expansion is non-repeating and non-terminating.
  2. Consider the addition: Consider the addition of an irrational number ee and a rational number ss. When an irrational number is added to a rational number, the result is always irrational. This is because the irrational part cannot be canceled out or simplified to result in a rational number.
  3. Apply the rule: Apply this rule to e+se + s.\newlineSince ee is irrational and ss is rational, their sum e+se + s 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)