Math Problem Statement
Simplify (3+ root3) (2+root2)
Solution
To simplify the expression , we need to apply the distributive property (also known as the FOIL method for binomials).
Step-by-step:
Now, let's compute each term:
Thus, combining all the terms:
Final Answer:
Would you like further details on the steps or have any other questions? Here are some related questions:
- How do you simplify binomials with irrational numbers in general?
- What is the significance of the distributive property in algebra?
- How can you apply FOIL in solving other algebraic expressions?
- What are the properties of square roots that were used here?
- How do you simplify expressions involving square roots in general?
Tip: When multiplying binomials with square roots, always remember to simplify the square root products whenever possible!
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Math Problem Analysis
Mathematical Concepts
Algebra
Simplification of expressions
Distributive Property
Square Roots
Binomial Expansion (FOIL method)
Formulas
(a + b)(c + d) = ac + ad + bc + bd
Theorems
Distributive property
Properties of square roots
Suitable Grade Level
Grades 7-9