Michael J. answered • 05/08/15
Tutor
5
(5)
Great at Simplifying Complex Concepts and Processes
When we simplify radicals, we break then up by their factors. We use factors that will reduce the radical.
1)
√32 (√50 + √54 - √18) =
[√(16) √(2)] * [√(25) √(2) + √(9) √(6) - √(9) √(2)] =
[4 √(2)] * [5 √(2) + 3 √(6) - 3 √(2)] =
[4 √(2)] * [2 √(2) + 3 √(6)]
Next, distribute.
8*2 + 12 √(12) =
16 + 12 √(4) √(3) =
16 + 12 * 2√3
16 + 24√3 =
8(2 + 3√3)
2)
(√6)(√48) =
(√2 √3) (√16 √3) =
(√2 √3) (4 √3) =
√3 * √3 * 4 * √2 =
3*4√2 =
12√2
Now that you understand how to solve these problems, try the next 2 problems.
Josh F.
How sure are you of your answer?
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05/10/15
Michael J.
I am very sure. You must have combined your radicals incorrectly. For example.
If you saw 2√6, you probably put down √12 as a product. This you cannot do because the 2 is not under the radical. Check to see if you made some error similar to that.
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05/11/15
Josh F.
Ohh ya thank you!
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05/11/15
Josh F.
05/10/15