Lee Bowman
04/12/2024 · Senior High School

(3) The irrational number included between 2 and 3 is \( \cdots l \) \( \begin{array}{llll}\text { (a) } \sqrt{3} & \text { (b) } \sqrt{-1} & \text { (c) } \sqrt{7}\end{array} \)

UpStudy ThothAI Solution

Tutor-Verified Answer

Step-by-step Solution

To find the irrational number between 2 and 3 from the options given, we can evaluate each option: (a) \( \sqrt{3} \): - The approximate value of \( \sqrt{3} \) is about 1.732, which is not between 2 and 3. (b) \( \sqrt{-1} \): - This is an imaginary number (denoted as \( i \)), which is not a real number and thus cannot be between 2 and 3. (c) \( \sqrt{7} \): - The approximate value of \( \sqrt{7} \) is about 2.645, which is indeed between 2 and 3. Therefore, the correct answer is \( \sqrt{7} \).

Quick Answer

The correct answer is (c) \( \sqrt{7} \).
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
Basic
  • Limited Solutions