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Spartan_Of_Ares

  • one year ago

what is the value of the expression sqrt(27)+sqrt(32)-sqrt(75)

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  1. Spartan_Of_Ares
    • one year ago
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    \[\sqrt(27)+\sqrt(32)-\sqrt(75)\]

  2. Spartan_Of_Ares
    • one year ago
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    @zaynahf if your not busy can you help me out?

  3. zaynahf
    • one year ago
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    Sure, i can! Do you know how to simplify radicals?

  4. Spartan_Of_Ares
    • one year ago
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    not really

  5. Spartan_Of_Ares
    • one year ago
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    >< ---

  6. zaynahf
    • one year ago
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    To simplify radicals, you have to try to find a perfect square that fits perfectly into the number. So for the first one: \[\sqrt{27}\] the biggest perfect square that can fit into it is 9. So, the inside would simplify to be: \[\sqrt{9 \times 3} = 3\sqrt{3}\]

  7. Spartan_Of_Ares
    • one year ago
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    so i can get \[\sqrt16X2 = 4\sqrt2 ?\]

  8. zaynahf
    • one year ago
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    Yeah! Now try the third one

  9. Spartan_Of_Ares
    • one year ago
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    \[\sqrt75 = \sqrt5X15 = 5\sqrt5?\]

  10. zaynahf
    • one year ago
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    No, since neither 15 nor 5 are perfect squares. Here are the perfect squares: 1,4,9,16,25,36,49,64,81,100....

  11. Spartan_Of_Ares
    • one year ago
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    so \[aaaannnnnd`im lost\]

  12. zaynahf
    • one year ago
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    lol i'll guide you through

  13. Spartan_Of_Ares
    • one year ago
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    ok

  14. zaynahf
    • one year ago
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    Ok since you want to get the biggest one that goes into there, start from the top of the list. Try seeing if 100 goes into 75 (obviously not), so just start from the smallest number after 75. 64,36,25,16,4,1. When you find the one that goes into 72, let me know.

  15. Spartan_Of_Ares
    • one year ago
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    64

  16. zaynahf
    • one year ago
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    64 goes into 75 evenly?

  17. Spartan_Of_Ares
    • one year ago
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    oh no 25

  18. zaynahf
    • one year ago
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    Good! Now what times 25 is 75?

  19. Spartan_Of_Ares
    • one year ago
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    3

  20. zaynahf
    • one year ago
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    So thats what goes under the radical: \[\sqrt{75}= \sqrt{25 \times 3}= 5\sqrt{3}\] Right?

  21. Spartan_Of_Ares
    • one year ago
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    ok what do i do now multiply them together?

  22. zaynahf
    • one year ago
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    \[3\sqrt{3}+4\sqrt{2}-5\sqrt{3}\] Is that what you have so far?

  23. Spartan_Of_Ares
    • one year ago
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    yes

  24. zaynahf
    • one year ago
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    There are only 2 with the same base radical, so you can only simplify those

  25. Spartan_Of_Ares
    • one year ago
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    so i get \[8\sqrt3+ 4\sqrt2\]

  26. zaynahf
    • one year ago
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    Remember, it's 3-5, not 3+5

  27. Spartan_Of_Ares
    • one year ago
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    -2√3+4√2

  28. Spartan_Of_Ares
    • one year ago
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    is that my final answer?

  29. zaynahf
    • one year ago
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    Perfect

  30. zaynahf
    • one year ago
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    Yes it is

  31. Spartan_Of_Ares
    • one year ago
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    thnxs so much ^_^ now i can sleep ... eh maybe

  32. zaynahf
    • one year ago
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    No problem! Let me know if you need other help

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