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anonymous

  • one year ago

Simplify 3 square root of 5 end root minus 2 square root of 7 end root plus square root of 45 end root minus square root of 28.

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  1. anonymous
    • one year ago
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    anyone? please i dont understand

  2. jim_thompson5910
    • one year ago
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    The expression is this right? \[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}\]

  3. anonymous
    • one year ago
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    do you know how to solve it?

  4. jim_thompson5910
    • one year ago
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    first we need to simplify \(\Large \sqrt{45}\)

  5. jim_thompson5910
    • one year ago
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    \[\large \sqrt{45}=\sqrt{9*5}\] \[\large \sqrt{45}=\sqrt{9}*\sqrt{5}\] \[\large \sqrt{45}=3\sqrt{5}\]

  6. jim_thompson5910
    • one year ago
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    Notice how I factored it into 9*5 one of the factors is the largest perfect square factor possible

  7. jim_thompson5910
    • one year ago
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    make sense?

  8. anonymous
    • one year ago
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    yes

  9. jim_thompson5910
    • one year ago
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    how would you simplify \(\Large \sqrt{28}\) ?

  10. anonymous
    • one year ago
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    2 square root of 7

  11. jim_thompson5910
    • one year ago
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    good

  12. jim_thompson5910
    • one year ago
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    So \[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28}\] turns into \[\large 3\sqrt{5}-2\sqrt{7}+3\sqrt{5}-2\sqrt{7}\]

  13. jim_thompson5910
    • one year ago
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    from here combine like terms

  14. anonymous
    • one year ago
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    ok

  15. anonymous
    • one year ago
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    i dont really know how to do this part its confusing

  16. jim_thompson5910
    • one year ago
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    if I gave you something like 3x+7y+2x+10y, would you be able to combine like terms?

  17. anonymous
    • one year ago
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    yes

  18. anonymous
    • one year ago
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    it would be 5x + 17y right?

  19. jim_thompson5910
    • one year ago
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    yes that's correct

  20. jim_thompson5910
    • one year ago
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    you'll use the same idea

  21. jim_thompson5910
    • one year ago
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    let x = sqrt(5) and y = sqrt(7) \[\large 3\color{red}{\sqrt{5}}-2\color{blue}{\sqrt{7}}+3\color{red}{\sqrt{5}}-2\color{blue}{\sqrt{7}}\] \[\large 3\color{red}{x}-2\color{blue}{y}+3\color{red}{x}-2\color{blue}{y}\]

  22. anonymous
    • one year ago
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    ok

  23. jim_thompson5910
    • one year ago
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    simplify `3x-2y+3x-2y` to get ???

  24. anonymous
    • one year ago
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    6x-y?

  25. jim_thompson5910
    • one year ago
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    6x is correct -y is not

  26. anonymous
    • one year ago
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    ok

  27. jim_thompson5910
    • one year ago
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    try again

  28. anonymous
    • one year ago
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    what would the answer be?

  29. jim_thompson5910
    • one year ago
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    -2y-2y is -4y, agreed?

  30. jim_thompson5910
    • one year ago
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    \[\large 3\color{red}{x}-2\color{blue}{y}+3\color{red}{x}-2\color{blue}{y}\] \[\large 6\color{red}{x}-4\color{blue}{y}\] \[\large 6\color{red}{\sqrt{5}}-4\color{blue}{\sqrt{7}}\]

  31. jim_thompson5910
    • one year ago
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    So, \[\large 3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} = 6\sqrt{5}-4\sqrt{7}\]

  32. anonymous
    • one year ago
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    ok thank a lot

  33. anonymous
    • one year ago
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    can you help me with this one please? if you want to. Which statement is true about the difference 2 square root of 7 − square root of 28?

  34. jim_thompson5910
    • one year ago
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    \[2\sqrt{7} - \color{red}{\sqrt{28}} = 2\sqrt{7} - \color{red}{2\sqrt{7}} = 0\sqrt{7} = 0\]

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