Math Problem Statement
Simplify the expression \( \sqrt{8} + 3\sqrt{2} \).
Solution
The expression in the image is:
Step-by-step simplification:
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Simplify :
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Now substitute with :
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Combine like terms (both terms contain ):
Thus, the simplified form of the expression is:
Let me know if you'd like more details or further clarification!
Related Questions:
- How do you simplify other square roots like ?
- Can you explain how to factor numbers inside square roots?
- What are like terms in radical expressions, and how do you combine them?
- How do you simplify ?
- Can you solve expressions involving cube roots?
Tip:
Always look for perfect square factors within a square root to simplify expressions more easily.
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Math Problem Analysis
Mathematical Concepts
Radicals
Simplifying Expressions
Formulas
\( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \)
Combining like terms
Theorems
Properties of Radicals
Suitable Grade Level
Grades 8-10