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Kris5

  • 3 years ago

help me please :) 1. Which expression is equivalent to radical 5+ radical 3 / radical 5 - radical 3? 2. The fraction 1-1/a divided by 1-1/a^2 is equiv. to... 3. Solve for x: 3/x-2+8/x^2-4=1

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  1. tkhunny
    • 3 years ago
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    Please use parentheses to write what you intend. In your #1, you have written \(\sqrt{5} + \dfrac{\sqrt{3}}{\sqrt{5}} - \sqrt{3}\). I'm guessing this is not what you intended. In what I suspect you intended, multiply numerator and denominator separetely by \(\sqrt{5}+\sqrt{3}\) and see what magic happens, especially in the denominator.

  2. Kris5
    • 3 years ago
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    |dw:1356738160323:dw|

  3. tkhunny
    • 3 years ago
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    Indeed. Did you do what I said? That will solve it.

  4. Kris5
    • 3 years ago
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    ok I'll try

  5. tkhunny
    • 3 years ago
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    Good call. Show us what you get.

  6. Kris5
    • 3 years ago
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    |dw:1356738348623:dw|

  7. Kris5
    • 3 years ago
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    8+radical15

  8. tkhunny
    • 3 years ago
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    SO CLOSE!!!! That's \(8+2\sqrt{15}\) and then you have a common factor in numerator and denominator that can help to simplify a little more. Excellent work. You're getting it.

  9. Kris5
    • 3 years ago
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    I made an error

  10. Kris5
    • 3 years ago
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    |dw:1356738746427:dw|

  11. Kris5
    • 3 years ago
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    thanks:)

  12. Kris5
    • 3 years ago
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    4+ radical 15

  13. tkhunny
    • 3 years ago
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    Spot on!

  14. Kris5
    • 3 years ago
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    \[4+\sqrt{15}\]

  15. Kris5
    • 3 years ago
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    thank you :)

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