Math Problem Statement
Solution
To simplify the given expression , let's work through it step-by-step:
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Simplify each radical term:
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For the first term, : So, .
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For the second term, : Therefore, .
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Combine like terms:
Now the expression becomes: Factor out :
Thus, the expression in simplest radical form is:
Would you like more details, or do you have any questions?
Here are some related questions you might explore:
- How do you simplify radicals when the radicand is a product of squares?
- What is the process to factor out like terms in an expression?
- How does the distributive property work in simplifying expressions with radicals?
- Can you apply these steps to simplify a different radical expression?
- What are some other properties of square roots that help with simplification?
Tip: Always look for perfect squares within the radicand to simplify radicals more easily.
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Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Simplifying Expressions
Formulas
sqrt(a*b) = sqrt(a) * sqrt(b)
Combining like terms
Theorems
Properties of Square Roots
Distributive Property
Suitable Grade Level
Grades 10-12
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