Math Problem Statement
Solution
The problem asks for the result of . Let's solve it step by step:
Step 1: Combine the square roots
Using the property , we can combine the two square roots:
Step 2: Simplify the square root
Now, simplify :
Final Answer:
The result is 6, which corresponds to option C.
Do you want further details or have any questions?
Here are 5 related questions to explore further:
- How do you simplify expressions with multiple square roots?
- What are the properties of square roots that can help simplify multiplication?
- How can we handle more complex radical expressions?
- What happens when you multiply square roots with different radicands?
- How do square roots interact with exponents?
Tip: Always check if you can simplify expressions inside square roots before multiplying.
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Math Problem Analysis
Mathematical Concepts
Simplification of Square Roots
Properties of Radicals
Formulas
\( \sqrt{a} \times \sqrt{b} = \sqrt{a \times b} \)
Theorems
Square Root Multiplication Theorem
Suitable Grade Level
Grades 8-10
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