Math Problem Statement
2rad32x^2 + 8rad512x^2
Solution
Let's simplify the expression .
Step 1: Simplify the square roots
First, let's simplify each square root individually.
Simplifying :
Since , we have: Thus: So:
Simplifying :
Again, , and: So: Then:
Step 2: Combine the terms
Now, let's combine the two simplified expressions:
Final Answer:
Would you like further details or have any questions?
Here are some related questions:
- How do you simplify expressions involving square roots?
- What are the properties of square roots used in algebra?
- Can square roots be negative, and how does that affect simplification?
- How does the absolute value function come into play when simplifying square roots of squared variables?
- How can you combine like terms when dealing with radicals?
Tip: Always factor out perfect squares from square roots for easier simplification.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Radicals
Simplifying Expressions
Formulas
√(a * b) = √a * √b
|x| = √(x^2)
Theorems
Square Root Property
Absolute Value Theorem
Suitable Grade Level
Grades 9-10