Math Problem Statement
8√8 + 3√2 + 3√12
Solution
Let's simplify each term first:
-
:
Break down as follows:
Now, substitute back into :
-
:
This term is already simplified. -
:
Break down as follows:
Now, substitute back into :
Now, putting it all together:
Combine like terms:
Thus, the simplified expression is:
Would you like more details on the simplification process or another explanation?
Here are 5 related questions:
- How would you simplify ?
- What is ?
- How do you factor and simplify ?
- What is the result of combining ?
- How do you simplify ?
Tip: Always look for perfect squares within the square root to simplify expressions efficiently!
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Math Problem Analysis
Mathematical Concepts
Radicals
Simplifying Square Roots
Combining Like Terms
Formulas
√(a × b) = √a × √b
a√n + b√n = (a + b)√n
Theorems
Properties of Square Roots
Simplification of Radicals
Suitable Grade Level
Grades 9-10