Math Problem Statement
7\sqrt{2\text{ }} $$$$ +4\sqrt2 $$$$ -\sqrt2
Solution
To simplify the given expression:
Combine like terms:
Since all terms involve , we can add or subtract the coefficients:
Final Answer:
Would you like a detailed breakdown of this process or any additional explanations?
Related Questions:
- What are like terms in radical expressions, and how do we combine them?
- How do you simplify expressions involving different radicals?
- Can you expand if ?
- How do you rationalize a denominator with in the denominator?
- What are the real-world applications of radical expressions?
Tip: Always ensure the radicals you're combining have the same index and radicand!
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Math Problem Analysis
Mathematical Concepts
Simplification of Radical Expressions
Addition and Subtraction of Like Terms
Formulas
Combining like terms: (a + b + c)√x = (a + b + c)√x
Theorems
Properties of Radicals: Radicals with the same radicand can be combined
Suitable Grade Level
Grades 6-8