Math Problem Statement
Simplify \( \sqrt{461} \)
Solution
The problem visible in the uploaded image is:
3. Simplify
Solution:
We simplify :
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Prime Factorization of 461:
- 461 is a prime number. It cannot be factored further.
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Since there are no repeated factors under the square root, cannot be simplified further.
Final Answer:
Would you like me to break down any part of this further or help with a different question?
Related Questions:
- How do you determine if a number is prime?
- What are the steps to simplify square roots when the number is not prime?
- How do you estimate square roots of non-perfect squares?
- Can be approximated as a decimal, and how?
- What is the significance of prime factorization in simplifying square roots?
Tip:
For simplifying square roots, always start by checking the prime factorization of the number to identify pairs of factors.
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Math Problem Analysis
Mathematical Concepts
Square Roots
Prime Factorization
Formulas
\( \sqrt{n} \) where \( n \) is a non-perfect square
Theorems
Prime Factorization Theorem
Suitable Grade Level
Grades 8-10