3.6√5 - 2√5 + 8√5
Understand the Problem
The question involves simplifying an expression that includes square roots and coefficients. The high-level approach to solve it will involve combining like terms.
Answer
The simplified expression is \(9.6\sqrt{5}\).
Answer for screen readers
The simplified expression is (9.6\sqrt{5}).
Steps to Solve
-
Identify like terms
The expression given is (3.6\sqrt{5} - 2\sqrt{5} + 8\sqrt{5}). The like terms are all the coefficients of (\sqrt{5}). -
Combine coefficients
Add and subtract the coefficients:- Start with (3.6 - 2 + 8)
- First, calculate (3.6 - 2 = 1.6)
- Next, add (1.6 + 8 = 9.6)
-
Write the simplified expression
Now, combine the result with (\sqrt{5}): $$9.6\sqrt{5}$$
The simplified expression is (9.6\sqrt{5}).
More Information
The final result combines all the square root terms by simply adding their coefficients. This method of combining like terms is a fundamental skill in algebra, particularly useful in simplifying expressions.
Tips
- Confusing operations: Sometimes, students may forget to subtract or add correctly when dealing with decimals. Careful arithmetic is essential.
- Forgetting the square root: After simplifying the coefficients, remember to include the square root term in the final answer.
AI-generated content may contain errors. Please verify critical information
