Math Problem Statement
3(2 - 3√18)
Solution
Let's simplify the expression:
Step 1: Simplify the square root
We know that:
So, the expression becomes:
Step 2: Distribute the 3
Now, distribute the 3 across the terms inside the parentheses:
Thus, the simplified expression is:
Let me know if you'd like more details on this process or have any further questions!
Related questions:
- How do you simplify square roots with large numbers?
- What is the process for distributing multiplication over subtraction?
- Can you explain how to combine like terms with square roots?
- How do you factor expressions that involve square roots?
- What is the difference between rational and irrational numbers?
Tip: When simplifying square roots, try breaking the number into prime factors to check if any can be simplified easily.
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Math Problem Analysis
Mathematical Concepts
Simplifying Expressions
Square Roots
Distributive Property
Formulas
√ab = √a × √b
Distributive Property: a(b - c) = ab - ac
Theorems
Distributive Property
Properties of Square Roots
Suitable Grade Level
Grades 8-10