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:

Select all the numbers that are irrational.\newlineMulti-select Choices:\newline(A) 0.34‾0.\overline{34}\newline(B) 34\sqrt{34}\newline(C) 343\sqrt{4}\newline(D) −34-\frac{3}{4}\newline(E) 34\sqrt{\frac{3}{4}}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. Select all the numbers that are irrational.\newlineMulti-select Choices:\newline(A) 0.34‾0.\overline{34}\newline(B) 34\sqrt{34}\newline(C) 343\sqrt{4}\newline(D) −34-\frac{3}{4}\newline(E) 34\sqrt{\frac{3}{4}}
  1. Analyze option (A): Step 11: Analyze option (A) 0.34‾0.\overline{34}. 0.34‾0.\overline{34} represents a repeating decimal, which is not an irrational number because it can be expressed as a fraction.
  2. Analyze option (B): Step 22: Analyze option (B) 34\sqrt{34}.34\sqrt{34} cannot be expressed as a fraction of integers and does not have a repeating or terminating decimal expansion, making it an irrational number.
  3. Analyze option (C): Step 33: Analyze option (C) 343\sqrt{4}. 343\sqrt{4} simplifies to 3×2=63\times 2 = 6, which is a rational number because it can be expressed as a fraction (6/1)(6/1).
  4. Analyze option (D): Step 44: Analyze option (D) −34-\frac{3}{4}.−34-\frac{3}{4} is a rational number as it is already expressed as a fraction.
  5. Analyze option (E): Step 55: Analyze option (E) 34\sqrt{\frac{3}{4}}.34\sqrt{\frac{3}{4}} simplifies to 3/2\sqrt{3}/2. Since 3\sqrt{3} is an irrational number, dividing it by 22 still results in an irrational number.

More problems from Checkpoint: Rational and irrational numbers

Question
Solve for hh. \begin{align*} \frac{h}{6}-1 &= -3, \ h = \Box \end{align*}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for xx.−30=5(x+1)x=□\begin{align*}-30 &= 5(x+1)\\x &= \square\end{align*}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{13,22,32} \{13,22,32\} \newline{11,22,33} \{11,22,33\} \newline{14,20,36} \{14,20,36\} \newline{15,21,37} \{15,21,37\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{14,27,40} \{14,27,40\} \newline{4,9,14} \{4,9,14\} \newline{9,21,29} \{9,21,29\} \newline{12,17,28} \{12,17,28\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{11,14,24} \{11,14,24\} \newline{12,21,33} \{12,21,33\} \newline{15,25,39} \{15,25,39\} \newline{10,22,31} \{10,22,31\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{9,19,27} \{9,19,27\} \newline{6,20,27} \{6,20,27\} \newline{14,19,32} \{14,19,32\} \newline{9,18,25} \{9,18,25\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{13,22,36} \{13,22,36\} \newline{8,18,25} \{8,18,25\} \newline{4,13,15} \{4,13,15\} \newline{5,8,12} \{5,8,12\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{10,13,22} \{10,13,22\} \newline{14,26,42} \{14,26,42\} \newline{6,14,22} \{6,14,22\} \newline{15,18,34} \{15,18,34\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could represent the three sides of a triangle?\newline{4,10,14} \{4,10,14\} \newline{12,25,36} \{12,25,36\} \newline{6,8,14} \{6,8,14\} \newline{15,30,46} \{15,30,46\}
Get tutor helpright-arrow

Posted 2 months ago

Question
Which of the following sets of numbers could not represent the three sides of a triangle?\newline{11,13,26} \{11,13,26\} \newline{13,19,30} \{13,19,30\} \newline{6,10,15} \{6,10,15\} \newline{13,19,29} \{13,19,29\}
Get tutor helpright-arrow

Posted 2 months ago

View all (79)