Math Problem Statement
Which expression is equivalent to the given expression? 2√4 ⋅ 3√30 A. 12√30 B. 24√30 C. 3√20 D. √120
Solution
To solve the expression , let's break it down step by step.
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Simplify :
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Substitute the simplified value back into the expression:
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Multiply the coefficients:
So the expression simplifies to:
The expression corresponds to option A.
Answer: A.
Would you like further details or have any questions? Here are some related questions to consider:
- How do you simplify expressions involving square roots?
- What is the general approach for multiplying radicals?
- Can you multiply radicals directly, or must you simplify first?
- How does multiplying coefficients affect the radical expression?
- What are common mistakes when working with radical expressions?
Tip: Always simplify square roots before performing multiplication or other operations to make the calculations easier.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Multiplication of Radicals
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9