Math Problem Statement
Simplify the expression: 2√30 * 3√2
Solution
The expression in the image is:
We can simplify this step by step:
-
Multiply the numerical coefficients:
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Multiply the square roots:
Thus, the expression becomes:
Now, simplify :
So, the entire expression simplifies to:
The simplified result is:
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- How do you multiply two square roots in general?
- What is the process of simplifying a square root like ?
- How can you factor square roots more efficiently?
- What happens when you add or subtract square roots?
- How can this technique be applied to algebraic expressions involving roots?
Tip: When simplifying square roots, always check for perfect square factors (e.g., ) to simplify the expression further.
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Math Problem Analysis
Mathematical Concepts
Simplification
Multiplication of Radicals
Formulas
√a * √b = √(a*b)
a√b * c√d = (a*c)√(b*d)
Theorems
Properties of Square Roots
Simplification of Radicals
Suitable Grade Level
Grades 8-10