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## anonymous one year ago Multiply and then simplify the radical. 5 square root of 10 times 3 square root of 8

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1. anonymous

@PinkSapphire

2. PinkSapphire

Can you try it out this time? Then I'll tell you if you did it correctly or not.

3. anonymous

15 square root of 18

4. PinkSapphire

I don't think you can do that because when you're multiplying radicals, treat them as if they are variables. For example:$5x \times 3x=15x$But for this problem, you have to make the radicals (square roots) the same first before yu multiply the numbers outside the radicals.

5. PinkSapphire

*you

6. PinkSapphire

Actually, your answer was right, my mistake.

7. PinkSapphire

Wait, it's actually...$15\sqrt{80}$

8. anonymous

You multiplied it, but you still have to simplify $$15 \sqrt{80}$$.

9. PinkSapphire

$5\sqrt{10}\times3\sqrt{8}$ $5\times3 \sqrt{10\times8}$ $15\sqrt{80}$But to simplify it... $15\sqrt{10\times8}$ $15\sqrt{5\times2\times4\times2}$ $15\sqrt{5\times4\times4}$ $15\sqrt{5\times16}$ $15\times4\sqrt{5}$ $60\sqrt{5}$ I'm not really sure if I did it correctly...

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