Math Problem Statement
Express in simplest radical form: √12
Solution
To express in its simplest radical form:
- Begin by finding the prime factorization of 12:
- Now break down using these factors:
- Since is a perfect square, you can take 2 out of the square root:
Thus, the simplest radical form of is .
Would you like more details on this, or do you have any questions?
Here are 5 related questions:
- How would you simplify ?
- What is the simplest radical form of ?
- How do you simplify ?
- Can you simplify using the same method?
- What is the value of to two decimal places?
Tip: When simplifying square roots, always look for the largest perfect square factor.
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Math Problem Analysis
Mathematical Concepts
Simplifying Radicals
Square Roots
Prime Factorization
Formulas
√(a × b) = √a × √b
Theorems
Properties of Square Roots
Suitable Grade Level
Grades 6-8