Math Problem Statement
9√3 + 2√3. Add. Write your answer in simplest form.
Solution
The given expression is .
Since both terms involve , you can combine them by adding the coefficients of . The operation is similar to adding like terms in algebra:
So, the answer in simplest form is:
Would you like a further breakdown or have any additional questions?
Here are some related questions to consider:
- How do you simplify expressions involving square roots?
- What happens if the square roots are different, like and ?
- How can you rationalize a denominator if it involves a square root?
- How would you handle subtraction with square roots like ?
- Can you simplify an expression like ?
Tip: When adding or subtracting square roots, make sure they are the same radical (like ) before combining.
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Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Simplifying Expressions
Formulas
a√b + c√b = (a + c)√b
Theorems
Properties of Square Roots
Like Terms in Radical Expressions
Suitable Grade Level
Grades 7-9