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anonymous

  • one year ago

I need step by step detail on how to solve this problem.

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  1. anonymous
    • one year ago
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    \[\frac{ \sqrt{a }+2\sqrt{y} }{ \sqrt{a}-2\sqrt{y} }\] Rationalize the denominator and simplify.

  2. DanJS
    • one year ago
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    \[\frac{ \sqrt{a}+2\sqrt{y} }{ \sqrt{a}+2\sqrt{y}}\]

  3. DanJS
    • one year ago
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    multiply by that

  4. anonymous
    • one year ago
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    \[\frac{ (\sqrt{a}+2\sqrt{y})^{2} }{ (\sqrt{a})^{2}-(2\sqrt{y})^{2} }\] That's really as far as I can take it because it's the actual multiplying radicals and simplifying stuff that I have trouble with.

  5. DanJS
    • one year ago
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    The numerator expands to \[(\sqrt{a}+2\sqrt{y})^2 = \sqrt{a}^2+4\sqrt{a}\sqrt{y}+4\sqrt{y}^2 = a + 4\sqrt{a}\sqrt{y}+4y\]

  6. DanJS
    • one year ago
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    denominator goes to \[a - 4y\]

  7. DanJS
    • one year ago
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    no more roots in denominator, which is what they want

  8. anonymous
    • one year ago
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    Ohhh Ok so that was what I kept getting but in the denominator I mixed it up and got it a+4y so that was my problem. Thank you that makes a lot more sense.

  9. DanJS
    • one year ago
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    welcome, goodluck

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spraguer (Moderator)
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