Math Problem Statement
Express in simplest radical for: √54
Solution
To simplify , follow these steps:
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Find the prime factors of 54:
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Group the prime factors:
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Take the square root of the perfect square (which is ):
Thus, the simplified form of is:
Would you like a more detailed explanation or have any questions?
Here are some related questions you might find interesting:
- How would you simplify ?
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Tip: To simplify a square root, always look for the largest perfect square that divides the number under the root.
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Math Problem Analysis
Mathematical Concepts
Radicals
Square Roots
Prime Factorization
Formulas
√a * √b = √(a * b)
Square root of a perfect square: √(n^2) = n
Theorems
Simplification of square roots
Prime factorization method for radicals
Suitable Grade Level
Grades 8-10