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anonymous

  • one year ago

Simplify.

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  1. anonymous
    • one year ago
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    |dw:1436571087714:dw|

  2. geerky42
    • one year ago
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    HINT: \(\sqrt{75} = \sqrt{3\cdot25}\)

  3. anonymous
    • one year ago
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    i dont no what to do with the square root thing

  4. anonymous
    • one year ago
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    Any more ideas?

  5. anonymous
    • one year ago
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    |dw:1436571478881:dw|

  6. anonymous
    • one year ago
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    ^ That was what geeky was trying to say

  7. anonymous
    • one year ago
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    |dw:1436571469286:dw|

  8. anonymous
    • one year ago
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    tha answer i got wasnt one of those

  9. anonymous
    • one year ago
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    The answer is indeed in one of them. Please work with me not just for the sake of the answer.

  10. anonymous
    • one year ago
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    What is √25 ?

  11. anonymous
    • one year ago
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    what the line thing mean tho

  12. anonymous
    • one year ago
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    √ = Square root...

  13. anonymous
    • one year ago
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    Do you know what a square root is?

  14. anonymous
    • one year ago
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    i no what it is i dont no what to do with it

  15. anonymous
    • one year ago
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    That means you don't know what it is. If you knew what it is, you'd know what to do w/ it.

  16. anonymous
    • one year ago
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    The square root means what number *squared* will equal the number in the "√"

  17. anonymous
    • one year ago
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    what i menat was i no what the line means

  18. anonymous
    • one year ago
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    |dw:1436571742740:dw|

  19. anonymous
    • one year ago
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    okay but how do you get a answer out of that?

  20. anonymous
    • one year ago
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    like how do you simplify it

  21. anonymous
    • one year ago
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    |dw:1436571796728:dw| Sorry but you need to work to your own answer.

  22. anonymous
    • one year ago
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    im not asking you to give me the answer im asking you to explain

  23. anonymous
    • one year ago
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    I am explaining ?

  24. anonymous
    • one year ago
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    yea and now i no what a sguare root is but how do you simplify one

  25. anonymous
    • one year ago
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    You need to split the imperfect square into two squares so one of them is simplify able.

  26. anonymous
    • one year ago
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    Look at my above drawings.

  27. anonymous
    • one year ago
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    @geerky42 Am I explaining okay?

  28. geerky42
    • one year ago
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    Yeah, I would said the same thing.

  29. anonymous
    • one year ago
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    spliting it is 37.5

  30. anonymous
    • one year ago
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    I mean into two different square roots.. not dividing it by 2.

  31. anonymous
    • one year ago
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    Like a factor tree.

  32. geerky42
    • one year ago
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    No, by splitting square root, we mean \(\large \sqrt{ab} \quad\Rightarrow\quad\sqrt a\sqrt b\)

  33. geerky42
    • one year ago
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    Here, we have case of \(a=3\) and \(b=25\)

  34. anonymous
    • one year ago
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    so \[\sqrt{7} \sqrt{5}\]

  35. geerky42
    • one year ago
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    \(\large \sqrt{75}=\sqrt{3\cdot25}=\sqrt3\sqrt{25}\)

  36. geerky42
    • one year ago
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    a and b are variables, not digits.

  37. anonymous
    • one year ago
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    oh okay

  38. geerky42
    • one year ago
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    Now we cannot simplify \(\sqrt3\), but we can with \(\sqrt{25}\). What is \(\sqrt{25}\)?

  39. anonymous
    • one year ago
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    it would be \[\sqrt{5 * 5}\]

  40. geerky42
    • one year ago
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    Taking square root is opposite of squaring. What number multiplied by itself would get you 25?

  41. geerky42
    • one year ago
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    Yeah, but you don't have to split any more.

  42. geerky42
    • one year ago
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    \(25 = 5^2\) So \(\sqrt{25}=~?\)

  43. anonymous
    • one year ago
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    5?

  44. geerky42
    • one year ago
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    Correct. So you have \(\large \sqrt{25}\sqrt3 ~~=~~ \boxed{5\sqrt3}\) It makes sense, right?

  45. anonymous
    • one year ago
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    oh because the 3 is from the first one yea i get that

  46. anonymous
    • one year ago
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    thank you for the help

  47. anonymous
    • one year ago
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    ^^^ Great job @geerky42 :)

  48. geerky42
    • one year ago
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    Thanks :)

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