Math Problem Statement
5\sqrt2 $$$$ $$$$ +2\sqrt{\frac72}
Solution
To simplify the expression , let's break down each term and simplify if possible.
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Simplify each term:
- The term is already in its simplest form.
- For the term , we can simplify it further:
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Simplify the fraction under the square root:
Now, the expression simplifies to:
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Conclusion:
The expression simplifies to:
This is the simplest form of the given expression.
Would you like more details or have any questions?
Here are 5 related questions to further explore the topic:
- How do you simplify expressions involving square roots of fractions?
- What are some common rules for simplifying square root expressions?
- Can you explain the concept of like and unlike terms in expressions involving square roots?
- How can you rationalize a denominator involving a square root?
- What are some practical applications of simplifying square root expressions in real-life problems?
Tip: When simplifying square root expressions, look for opportunities to factor out squares or simplify fractions under the square root to make the expression easier to handle.
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Math Problem Analysis
Mathematical Concepts
Simplifying expressions
Square roots
Fractional exponents
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12