Math Problem Statement
Simplify the radical expression. StartRoot 12 EndRoot
Solution
To simplify the radical expression , we begin by factoring 12 into its prime factors:
We know that , so we can simplify as:
Thus, the simplified form of is:
Would you like to go over the process in more detail, or do you have any other questions? Here are some related questions you might find useful:
- How do you simplify a square root with a larger number, like ?
- Can all square roots be simplified?
- What is the difference between simplifying square roots and cube roots?
- How do you add or subtract square roots?
- What happens if the number inside the square root is a perfect square?
Tip: When simplifying square roots, always look for the largest perfect square factor first!
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Math Problem Analysis
Mathematical Concepts
Simplifying Square Roots
Prime Factorization
Formulas
\( \sqrt{a \times b} = \sqrt{a} \times \sqrt{b} \)
\( \sqrt{4} = 2 \)
Theorems
Product property of square roots
Suitable Grade Level
Grades 6-8