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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
    • one year ago
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    @PinkSapphire

  2. PinkSapphire
    • one year ago
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    Can you try it out this time? Then I'll tell you if you did it correctly or not.

  3. anonymous
    • one year ago
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    15 square root of 18

  4. PinkSapphire
    • one year ago
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    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
    • one year ago
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    *you

  6. PinkSapphire
    • one year ago
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    Actually, your answer was right, my mistake.

  7. PinkSapphire
    • one year ago
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    Wait, it's actually...\[15\sqrt{80}\]

  8. anonymous
    • one year ago
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    You multiplied it, but you still have to simplify \(15 \sqrt{80}\).

  9. PinkSapphire
    • one year ago
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    \[5\sqrt{10}\times3\sqrt{8}\] \[5\times3 \sqrt{10\times8}\] \[15\sqrt{80}\]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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