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anonymous

  • one year ago

Medal & fan & testimonial for help with this question! Simplify: sqrt75 -4 sqrt8 -3 sqrt32?

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  1. anonymous
    • one year ago
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    @AaronAndyson @AllanO-the-great @Anaise @Alex_Mattucci @angelnicole @Aileennx3 @bubblysmiles24 @BAdhi @BrandonR @bgrundstrom @babylove2015 @CallMeKiki @Catseyeglint911 @clamin @chainedecho @Directrix

  2. anonymous
    • one year ago
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    @zepdrix

  3. misty1212
    • one year ago
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    HI!!

  4. anonymous
    • one year ago
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    Hey, @misty1212 ! Could you help me out?(:

  5. misty1212
    • one year ago
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    \[\huge\sqrt{75}-4\sqrt{8}-3\sqrt{32}\]?

  6. anonymous
    • one year ago
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    Yes ma'am!

  7. misty1212
    • one year ago
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    ok which one you want to do first?

  8. misty1212
    • one year ago
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    nvm how about the first one

  9. anonymous
    • one year ago
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    Its the whole thing that I have to simplify

  10. misty1212
    • one year ago
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    \[\sqrt{75}=\sqrt{25\times 3}\] right?

  11. anonymous
    • one year ago
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    Yes

  12. misty1212
    • one year ago
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    that means \[\sqrt{75}=\sqrt{25}\times \sqrt{3}=5\times \sqrt{3}\] for the first one

  13. anonymous
    • one year ago
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    Ohh!!

  14. misty1212
    • one year ago
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    lets move on to the next one

  15. misty1212
    • one year ago
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    \[\sqrt{8}=\sqrt{4\times 2}\]yes?

  16. anonymous
    • one year ago
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    Yes, so 2 sqrt2?

  17. misty1212
    • one year ago
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    bingo

  18. misty1212
    • one year ago
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    so far we are at \[5\sqrt{3}-8\sqrt{2}\] the \(-8\) because it started at \(-4\sqrt{8}\)

  19. anonymous
    • one year ago
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    Ohh okay

  20. misty1212
    • one year ago
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    last one is \(-3\sqrt{32}\) which is the same as \[-3\sqrt{16\times 2}\]

  21. misty1212
    • one year ago
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    then since \(\sqrt{16}=4\) you have \[-3\sqrt{16}\sqrt{2}=-3\times 4\times \sqrt{2}=-12\sqrt2\]

  22. misty1212
    • one year ago
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    putting it all together (we are still not done) you get \[5\sqrt{3}-8\sqrt2-12\sqrt2\]

  23. anonymous
    • one year ago
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    this is called "simplest radical form" btw

  24. misty1212
    • one year ago
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    now combine like terms, since the last two both have a \(\sqrt2\) final answer is \[5\sqrt3-20\sqrt2\]

  25. anonymous
    • one year ago
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    Okay, so would my final answer be 960 sqrt3

  26. misty1212
    • one year ago
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    @satellite73 stop commenting and start helping !

  27. anonymous
    • one year ago
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    Whaaat :/

  28. anonymous
    • one year ago
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    no that is not the final answer

  29. anonymous
    • one year ago
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    \[5\sqrt3-20\sqrt2\] is , as @misty1212 said

  30. anonymous
    • one year ago
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    that is because \[-8\sqrt2-12\sqrt2=-20\sqrt2\]

  31. anonymous
    • one year ago
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    ohhh we dont multiply.. and why does the 2 stay in the sqrt when there are two of them? Shouldnt it just canel out to be 2?

  32. anonymous
    • one year ago
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    the first term has a \(\sqrt3\) in it, you can't combine it with the other two

  33. anonymous
    • one year ago
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    good question! because you are adding (subtracting actually) not multiplying

  34. anonymous
    • one year ago
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    it is like \[5x-8y-12y=5x-20y\] same idea you aren't multiplying anything, just combining like terms

  35. anonymous
    • one year ago
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    Ohhh okay, makes sense! Thanks so much @satellite73 & @misty1212 !

  36. anonymous
    • one year ago
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    yw

  37. misty1212
    • one year ago
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    \[\color\magenta\heartsuit\]

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