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HorseCrazyGirlForever Group Title

Solve the following roots. Please explain the steps.

  • one year ago
  • one year ago

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  1. HorseCrazyGirlForever Group Title
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    \[\sqrt{54}\]

    • one year ago
  2. HorseCrazyGirlForever Group Title
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    \[\sqrt{60}\]

    • one year ago
  3. jim_thompson5910 Group Title
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    I'll do the first one to get you started

    • one year ago
  4. jim_thompson5910 Group Title
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    The idea is to factor the radicand into two factors where one factor is a perfect square (the largest perfect square possible)

    • one year ago
  5. jim_thompson5910 Group Title
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    Then you break up the root and simplify

    • one year ago
  6. jim_thompson5910 Group Title
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    \[\Large \sqrt{54} = \sqrt{9*6}\] \[\Large \sqrt{54} = \sqrt{9}*\sqrt{6}\] \[\Large \sqrt{54} = 3\sqrt{6}\]

    • one year ago
  7. HorseCrazyGirlForever Group Title
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    omg thank you so much!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

    • one year ago
  8. jim_thompson5910 Group Title
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    yw

    • one year ago
  9. HorseCrazyGirlForever Group Title
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    So \[\sqrt{60}= 3\sqrt{10}\]

    • one year ago
  10. jim_thompson5910 Group Title
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    no

    • one year ago
  11. jim_thompson5910 Group Title
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    keep in mind that 60 = 4*15

    • one year ago
  12. HorseCrazyGirlForever Group Title
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    So the answer is \[2\sqrt{15}\]

    • one year ago
  13. jim_thompson5910 Group Title
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    good

    • one year ago
  14. HorseCrazyGirlForever Group Title
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    YUS! Victory dance! Thank you so much! You are the most helpful person I have met on here! I cannot thank you enough! I was being made fun of for not being able to do these problems... You changed my life! Literally! Now I won't fail 7th grade! Thank you SO much again! I wish I could give you more medals!

    • one year ago
  15. jim_thompson5910 Group Title
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    yw, glad to be of help

    • one year ago
  16. HorseCrazyGirlForever Group Title
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    So I am looking for the biggest possible number to go into it? Like \[\sqrt{64} = 2\sqrt{16}\]

    • one year ago
  17. jim_thompson5910 Group Title
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    64 is a perfect square

    • one year ago
  18. jim_thompson5910 Group Title
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    since 8^2 = 64 or 8*8 = 64

    • one year ago
  19. jim_thompson5910 Group Title
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    so \[\Large \sqrt{64} = 8\]

    • one year ago
  20. HorseCrazyGirlForever Group Title
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    Ohhh ok! I get it now! Thank you SO much!

    • one year ago
  21. jim_thompson5910 Group Title
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    np

    • one year ago
  22. HorseCrazyGirlForever Group Title
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    \[\sqrt{72}= 2\sqrt{18}\]

    • one year ago
  23. jim_thompson5910 Group Title
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    find the largest perfect square that is a factor of 72

    • one year ago
  24. jim_thompson5910 Group Title
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    the perfect squares (up to 100) are: 1,4,9,16,25,36,49,64,81,100

    • one year ago
  25. HorseCrazyGirlForever Group Title
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    So I have to use a perfect square every time?

    • one year ago
  26. jim_thompson5910 Group Title
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    yes, you have to factor the number into two numbers where one number is the largest perfect square possible

    • one year ago
  27. HorseCrazyGirlForever Group Title
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    Wow! My mom could never explain as good as you do! lol! I will let you know if I need anymore help! :D Again, I cannot thank you enough! I will forever be in your debt!

    • one year ago
  28. jim_thompson5910 Group Title
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    sure thing, again glad to be of help

    • one year ago
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