Math Problem Statement
Find two consecutive whole numbers that \(\sqrt{28}\) lies between.
Solution
To determine the two consecutive whole numbers that lies between, we can calculate:
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Find the square roots of two perfect squares closest to 28:
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Therefore, lies between and .
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Simplifying, lies between 5 and 6.
Answer: is between 5 and 6.
Let me know if you'd like further details or have any questions.
Here are 5 related questions for deeper understanding:
- What is the approximate decimal value of ?
- How can you estimate square roots of non-perfect squares without a calculator?
- Why does lie between and ?
- How would you compute exactly in simplified radical form?
- Can you think of another method to find consecutive integers for a square root?
Tip: Always compare the given number with the squares of integers to find its position on the number line.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Inequalities
Number Sense
Formulas
\(a^2 < x < b^2 \implies a < \sqrt{x} < b\)
Theorems
Square Root Property
Suitable Grade Level
Grades 5-7