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anonymous
 4 years ago
Can someone help me with Multiplying Radicals?
anonymous
 4 years ago
Can someone help me with Multiplying Radicals?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0These are the problems. V

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Where are you stuck? Do you know: \[\sqrt{a}\times \sqrt{b} = \sqrt{a\times b}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0no @wio its confusing me.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Multiply the numbers that are outside the radicals together, then multiply the numbers inside the radicals together. If the new radicand can be simplified by extracting roots, then do that and multiply those roots by the numbers outside.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0#3 as an example: \[7xy \sqrt{2x} \cdot 3\sqrt{4xy^2} \rightarrow (7xy)(3) \cdot \sqrt{(2x)(4xy^2)}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[(7xy)(3) \cdot \sqrt{(2x)(4xy^2)} = 21xy \cdot \sqrt{2 \cdot 4 \cdot x^2 \cdot y^2}\] The radical contains the squares, 4, x^2, and y^2, so take the roots of those out. \[21xy \cdot 2 \cdot x \cdot y \sqrt{2}\] Then just simplify that the rest of the way.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Also note that you could have simplified the second radical first by taking out the 2 and the y since it had 4y^2 as a perfect square already.
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