Math Problem Statement
Solution
The problem asks to find the square root of the given fraction:
To solve:
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Apply the square root property to a fraction:
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Simplify the denominator: So, the denominator becomes 5.
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Simplify the numerator: The square root of 24 is not a perfect square, but it can be simplified:
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Combine results:
Thus, the simplified form of the square root is:
Would you like me to explain any step in more detail or provide additional practice questions?
Here are 5 related questions for practice:
- Simplify .
- Find the square root of .
- Simplify .
- Calculate the square root of and write it in simplest form.
- Solve .
Tip: Always simplify square roots by factoring into perfect squares for easier calculations!
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Math Problem Analysis
Mathematical Concepts
Simplifying square roots
Square root of fractions
Factorization
Formulas
\(\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}\)
\(\sqrt{n \cdot m} = \sqrt{n} \cdot \sqrt{m}\)
Theorems
Properties of square roots
Suitable Grade Level
Grades 8-10