anonymous
  • anonymous
I need step by step detail on how to solve this problem.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
\[\frac{ \sqrt{a }+2\sqrt{y} }{ \sqrt{a}-2\sqrt{y} }\] Rationalize the denominator and simplify.
DanJS
  • DanJS
\[\frac{ \sqrt{a}+2\sqrt{y} }{ \sqrt{a}+2\sqrt{y}}\]
DanJS
  • DanJS
multiply by that

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anonymous
  • anonymous
\[\frac{ (\sqrt{a}+2\sqrt{y})^{2} }{ (\sqrt{a})^{2}-(2\sqrt{y})^{2} }\] 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.
DanJS
  • DanJS
The numerator expands to \[(\sqrt{a}+2\sqrt{y})^2 = \sqrt{a}^2+4\sqrt{a}\sqrt{y}+4\sqrt{y}^2 = a + 4\sqrt{a}\sqrt{y}+4y\]
DanJS
  • DanJS
denominator goes to \[a - 4y\]
DanJS
  • DanJS
no more roots in denominator, which is what they want
anonymous
  • anonymous
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.
DanJS
  • DanJS
welcome, goodluck

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