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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?

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Solution

To find the product of these two expressions, we first need to simplify each one.

  1. The first expression is 8√14. We can't simplify this any further, so we leave it as is.

  2. 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.

This problem has been solved

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