Math Problem Statement
simplify square rot of 320
Solution
To simplify , follow these steps:
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Factorize 320:
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Use the square root property:
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Simplify : Since , we have:
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Combine the results:
Final Answer:
Would you like more explanation or examples related to this topic?
Related Questions:
- How do you simplify the square root of other composite numbers?
- What is the process to find the square root of a number that isn't a perfect square?
- How do you rationalize square root denominators?
- How is prime factorization used in simplifying radicals?
- What are the rules for multiplying and dividing square roots?
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
Square Roots
Simplification of Radicals
Prime Factorization
Formulas
√(a × b) = √a × √b
√(x^2) = x
Theorems
Properties of Square Roots
Fundamental Theorem of Arithmetic (Prime Factorization)
Suitable Grade Level
Grades 8-10