Question
Simplify the radical expression:
Ask by Logan Moran. in South Africa
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
To simplify the radical expression
, follow these steps:
-
Factor the Number Inside the Radical:Begin by finding the prime factors of 72.
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Apply the Square Root Property:The square root of a product is the product of the square roots.
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Simplify the Square Roots:
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Combine the Simplified Terms:
Final Answer:
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The Deep Dive
To simplify
, we can factor 72 into its prime factors:
and since
, we can express the radical as follows:
.
Remember, breaking down radicals can turn a complicated expression into something much more manageable! Keep practicing with different numbers, and you’ll get the hang of it in no time!