Lee Bowman
04/12/2024 · Senior High School
(3) The irrational number included between 2 and 3 is \( \cdots l \) \( \begin{array}{llll}\text { (a) } \sqrt{3} & \text { (b) } \sqrt{-1} & \text { (c) } \sqrt{7}\end{array} \)
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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) \( \sqrt{7} \).
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