SOLUTION: HOw do you multiply radicals? Lets say... (4 to the square root of 2)(3 to the square root of 2) ???

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Question 468152: HOw do you multiply radicals?
Lets say... (4 to the square root of 2)(3 to the square root of 2)
???
Found 3 solutions by Alan3354, stanbon, Theo:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
HOw do you multiply radicals?
Lets say... (4 to the square root of 2)(3 to the square root of 2)
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Do you mean 4%5Esqrt%282%29+ ?? I doubt that
I think you mean 4 times square of 2....
4sqrt%282%29%2A3sqrt%282%29
Multiply what's under the radical, if they're the same index
sqrt%282%29%2Asqrt%282%29+=+sqrt%284%29+=+2
You can't multiply a sqrt times a cube root, tho.
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4sqrt%282%29%2A3sqrt%282%29+=+12sqrt%284%29+=+12%2A2+=+24

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(4 to the square root of 2)(3 to the square root of 2)
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4^(1/2) * 3^(1/2)
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= 2*3^(12)
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Cheers,
Stan H.

Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean:
square root of 4 times the square root of 2?
let's talk a and b first.
the square root of a times the square root of b equals the square root of (a times b).
as an example:
the square root of 4 times the square root of 9 is equal to the square root of (4 times 9) which is equal to the square root of (36) which is equal to 6.
if you take the square roots separately first, you will get the same answer.
the square root of 4 is equal to 2.
the square root of 9 is equal to 3.
2 times 3 is equal to 6.