## ahoymewmew Group Title Can someone help me with Multiplying Radicals? one year ago one year ago

1. ahoymewmew Group Title

These are the problems. V

2. wio Group Title

Where are you stuck? Do you know: $\sqrt{a}\times \sqrt{b} = \sqrt{a\times b}$

3. ahoymewmew Group Title

no @wio its confusing me.

4. CliffSedge Group Title

Multiply 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.

5. CliffSedge Group Title

#3 as an example: $7xy \sqrt{2x} \cdot 3\sqrt{4xy^2} \rightarrow (7xy)(3) \cdot \sqrt{(2x)(4xy^2)}$

6. CliffSedge Group Title

$(7xy)(3) \cdot \sqrt{(2x)(4xy^2)} = 21xy \cdot \sqrt{2 \cdot 4 \cdot x^2 \cdot y^2}$ 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.

7. CliffSedge Group Title

Also 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.