What is the product of 8, square root of, 14, end square root8 14 and 5, square root of, 12, end square root5 12 in simplest radical form?
Question
What is the product of 8, square root of, 14, end square root 8 14 and 5, square root of, 12, end square root 5 12 in simplest radical form?
Solution
To find the product of these two expressions, we first need to simplify each one.
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The first expression is 8√14. We can't simplify this any further, so we leave it as is.
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The second expression is 5√12. We can simplify √12 by breaking it down into √4 * √3, which simplifies to 2√3. So, 5√12 becomes 5 * 2√3 = 10√3.
Now, we multiply the two expressions together:
8√14 * 10√3 = 80√(14*3) = 80√42.
So, the product of 8√14 and 5√12 in simplest radical form is 80√42.
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