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Solmyr

Simplify: 5 sqrt 3 (2 sqrt 3 + 6 sqrt 19) 30 + 30 sqrt 57 90 + 30 sqrt 57 10 sqrt 3 + 30 sqrt 19 10 sqrt 3 + 30 sqrt 57

  • one year ago
  • one year ago

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  1. phi
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    same idea: distribute then combine sqrt's

    • one year ago
  2. Solmyr
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    im not sure how i would but it in distubutive property

    • one year ago
  3. Solmyr
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    put

    • one year ago
  4. Solmyr
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    5 srqt 3 (2 sqrt3 sqrt 3 + 6 sqrt 3 sqrt 19)??

    • one year ago
  5. phi
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    in letters: A * (B+C) = A*B + A*C take the "stuff" in front (in this case 3 sqrt3 ) and multiply it times each thing inside

    • one year ago
  6. phi
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    5 sqrt 3 (2 sqrt 3 + 6 sqrt 19) you have two terms inside the parens: 2 sqrt3 and 6 sqrt19 you multiply each term by 5 sqrt3 for the first term just write it like this 5*sqrt3 * 2 * sqrt3 ( I put in * to show the multiplication, but in algebra you normally don't show the multiplication sign, and just know it is there.) however, put the numbers first (when you multiply you can switch the order) 5*2 * sqrt3 * sqrt3 you know what 5*2 is , right ? do you know what sqrt3 * sqrt3 is ? and do the same thing for the 2nd term: 6 sqrt19

    • one year ago
  7. Solmyr
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    ok so 10 sqrt 6 and 5 * sqrt 3 * 6 * sqrt 19 giving me 5 * 6 and sqrt 3 * sqrt 19 then giving me 30 sqrt 57 Answer = 10 sqrt 6 + 30 sqrt 57

    • one year ago
  8. phi
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    giving me 5 * 6 and sqrt 3 * sqrt 19 then giving me 30 sqrt 57 that part is correct. do the first part again 5*2 * sqrt3 * sqrt3

    • one year ago
  9. Solmyr
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    5*2 = 10 sqrt 3 * sqrt 3 = sqrt 9 10 sqrt 9

    • one year ago
  10. phi
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    yes. but what is the square root of 9 ?

    • one year ago
  11. Solmyr
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    3

    • one year ago
  12. phi
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    yes so 10*sqrt(9) is 10*3 or 30

    • one year ago
  13. Solmyr
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    ok

    • one year ago
  14. Solmyr
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    so right now im looking at D for my answer

    • one year ago
  15. phi
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    what is the first term? (5*2 * sqrt3 * sqrt3) + (5 * sqrt 3 * 6 * sqrt 19)

    • one year ago
  16. Solmyr
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    the first term is 10 sqrt 9 simplified its 10 sqrt 3

    • one year ago
  17. Solmyr
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    next term is 30 sqrt 57

    • one year ago
  18. phi
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    the first term is 10 sqrt 9 simplified its 10 sqrt 3 <-- no. sqrt(9) is 3 square root of 9 is 3 because 3*3=9

    • one year ago
  19. Solmyr
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    ok

    • one year ago
  20. phi
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    so if you see sqrt(3*3) you know that is 3

    • one year ago
  21. Solmyr
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    ok

    • one year ago
  22. phi
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    so, the answer for this question is 10 sqrt 9 simplified its 10 *3 =30 for the first term.

    • one year ago
  23. Solmyr
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    ok

    • one year ago
  24. phi
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    can you get the answer ?

    • one year ago
  25. Solmyr
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    A

    • one year ago
  26. phi
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    yes, also I noticed a typo in my rules: sqrt(x) * sqrt(x) = x is the rule or sqrt( x*x) = x or sqrt(x^2) = x <-- (it is x, not 2 like I had) those are 3 different ways of saying the same thing. try to remember this rule.

    • one year ago
  27. Solmyr
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    ok thanks i'll post the last question if ur ready

    • one year ago
  28. phi
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    ok

    • one year ago
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