Math Problem Statement
2**√6(4√3-3√**6)
Solution
To simplify the expression , let's distribute to each term within the parentheses.
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Distribute to :
Simplify : So,
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Distribute to :
Now, combine the results:
The simplified form of the expression is:
Would you like further clarification or have any questions?
Here are five related questions to explore:
- How do you simplify expressions involving square roots?
- What are the properties of radicals that make simplification easier?
- How do you multiply and simplify expressions with multiple square roots?
- Can you add or subtract terms with different square roots?
- What are some techniques for recognizing factors under square roots?
Tip: When simplifying radicals, look for perfect square factors to make expressions easier to manage.
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Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Simplification of Expressions with Square Roots
Formulas
Distributive property: a(b + c) = ab + ac
Square root multiplication: √a * √b = √(a * b)
Theorems
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Suitable Grade Level
Grades 9-10