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anonymous

  • one year ago

can someone help me with simplifying radical expressions? 1/sqrt(x)+sqrt(y)

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  1. anonymous
    • one year ago
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    |dw:1440999970186:dw|

  2. madhu.mukherjee.946
    • one year ago
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    |dw:1441000576022:dw|

  3. jim_thompson5910
    • one year ago
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    multiply top and bottom by \[\Large \sqrt{x}-\sqrt{y}\] |dw:1441000755361:dw|

  4. jim_thompson5910
    • one year ago
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    why do this? because you will take advantage of the fact that (a-b)(a+b) = a^2 - b^2 squaring the square root will cancel out the square root eg: \[\Large (\sqrt{x})^2 = x\] where is nonnegative

  5. madhu.mukherjee.946
    • one year ago
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    so where did i go wrong

  6. jim_thompson5910
    • one year ago
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    you didn't make a mistake @madhu.mukherjee.946 \[\Large \frac{1}{\sqrt{x}+\sqrt{y}} = \frac{\sqrt{x}-\sqrt{y}}{x-y}\] is true assuming \(\Large x \ne y\) and neither x nor y are zero

  7. madhu.mukherjee.946
    • one year ago
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    thanks

  8. madhu.mukherjee.946
    • one year ago
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    so @Mando98 your sum is solved

  9. anonymous
    • one year ago
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    so the final answer is |dw:1441001112100:dw|

  10. jim_thompson5910
    • one year ago
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    yes

  11. anonymous
    • one year ago
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    thank you and do you think you could help me out with 2 more problems (similar to this one)?

  12. jim_thompson5910
    • one year ago
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    sure just post them as separate posts to avoid clutter

  13. madhu.mukherjee.946
    • one year ago
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    dude where's the medal

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