Math Problem Statement
Determine which two values the following number is between: √11
Solution
The question asks to determine which two values the square root of 11 () is between.
Let's calculate :
Now, we compare this value to the options provided:
- A. 3.29 and 3.3
- B. 3.3 and 3.31
- C. 3.31 and 3.32
- D. 3.32 and 3.33
Since lies between 3.31 and 3.32, the correct answer is C. 3.31 and 3.32.
Would you like further details or explanations?
Here are 5 related questions you could explore:
- What is the square root of 12, and which range does it fall between?
- How can you estimate square roots without a calculator?
- What is the decimal approximation of ?
- How do square roots behave for numbers between perfect squares?
- Why does the square root of 11 result in an irrational number?
Tip: When estimating square roots, find the nearest perfect squares for an approximation.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Number Comparison
Formulas
Square Root Approximation
Theorems
Irrational Numbers
Suitable Grade Level
Grades 6-8