Math Problem Statement
Fully simplify √48
Solution
To fully simplify , we proceed as follows:
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Factorize 48 into its prime factors:
Recognizing that 16 is a perfect square, we can rewrite:
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Use the square root property:
The property allows us to split the square root:
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Simplify:
Since , we get:
Final Answer:
Would you like me to explain any step further? Let me know if you need more clarification!
Related Questions:
- How do you simplify ?
- What are the steps to simplify ?
- Can you explain how to identify perfect squares within a number?
- Simplify and explain your method.
- What is the square root of 48 rounded to 2 decimal places?
Tip: Always look for the largest perfect square factor of a number when simplifying square roots.
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Math Problem Analysis
Mathematical Concepts
Simplifying Square Roots
Prime Factorization
Formulas
√(a × b) = √a × √b
Theorems
Properties of Square Roots
Suitable Grade Level
Grades 6-8