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:

{:[(2)sqrt(sqrt(2b-1)+sqrt5=2)],[sqrt(2b-1)=2sqrtb]:}

(2)2b−1+5=22b−1=2b \begin{array}{l}(2) \sqrt{\sqrt{2 b-1}+\sqrt{5}=2} \\ \sqrt{2 b-1}=2 \sqrt{b}\end{array}

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. (2)2b−1+5=22b−1=2b \begin{array}{l}(2) \sqrt{\sqrt{2 b-1}+\sqrt{5}=2} \\ \sqrt{2 b-1}=2 \sqrt{b}\end{array}
  1. Identify number type: Identify the type of number 5.1195.119 is.\newline5.1195.119 is a number with a finite number of decimal places.
  2. Determine termination: Determine if 5.1195.119 is a terminating or non-terminating decimal. Since 5.1195.119 stops after three decimal places, it is a terminating decimal.
  3. Recall irrational definition: Recall the definition of an irrational number. An irrational number cannot be expressed as a fraction of two integers and has non-terminating, non-repeating decimals.
  4. Compare to definition: Compare 5.1195.119 to the definition of an irrational number.\newline5.1195.119 is a terminating decimal, so it can be expressed as a fraction (5119/1000)(5119/1000).
  5. Conclude rationality: Conclude whether 5.1195.119 is irrational or not.\newline5.1195.119 is not an irrational number because it is a terminating decimal.

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 3 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 3 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 3 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 3 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 3 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 3 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 3 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 3 months ago

View all (82)