anonymous
  • anonymous
How can I simplify this ?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\frac{ \sqrt{2} + \sqrt{\sqrt{2}} }{ 4 }\]
anonymous
  • anonymous
anyone
anonymous
  • anonymous
|dw:1378315857247:dw| can anyone say if my answer is possible ?

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DebbieG
  • DebbieG
No, that doesn't work.... first off, you can't just take the sq root of the den'r. You also can't split up what's under the radical. But what you put in the drawing, is not the same problem that you posted above....??
DebbieG
  • DebbieG
Which of these is it? \[\frac{ \sqrt{2} + \sqrt{\sqrt{2}} }{ 4 }\] \[\dfrac{ \sqrt{2 + {\sqrt{2}}} }{ 4 }\]
anonymous
  • anonymous
yah its the same .
DebbieG
  • DebbieG
The top one I posted is what you originally posted... the bottom one is what you put in the drawing. Which is it? Is the numerator a sum of square roots? Or the square root of a sum? There is a big difference.
anonymous
  • anonymous
I got confuse only on this . |dw:1378316357589:dw| try to solved it . i got my answer but when I solved and think I got another answer. |dw:1378316460828:dw|
anonymous
  • anonymous
what do u think @DebbieG
DebbieG
  • DebbieG
If your answer is \(\dfrac{ \sqrt{2 +\sqrt{2}} }{ 4 }\), are you sure you have to simplify it further? I tell my students that they can leave it just like that.
anonymous
  • anonymous
but If I want to simplify that ? how . ? do u think its|dw:1378317211403:dw|
anonymous
  • anonymous
Tell to me if how can I simplify that ? @DebbieG
anonymous
  • anonymous
Please :)
DebbieG
  • DebbieG
I am 100% sure that \(\dfrac{ \sqrt{2 +\sqrt{2}} }{ 4 }\neq \dfrac{ \sqrt{2 +\sqrt{2}} }{ 2 }\). I am not sure that it CAN be simplified, that's what I'm saying. If it can... I'm not sure how. I even pulled out the textbook I use when I teach trig, and almost the identical problem is in the half-angle section as an example, and the result is left in that form, nothing else done with it. As are the answers in the back of the text, for the problems that come out that way. I think that \(\dfrac{ \sqrt{2 +\sqrt{2}} }{ 4 }\) is fully simplified.
DebbieG
  • DebbieG
I should add: what you probably did when you got the 1/2 is: \(\sqrt{\dfrac{ 2 +\sqrt{2}} { 4 }}\) which, I am also 100% sure, IS equal to: \( \dfrac{ \sqrt{2 +\sqrt{2}} }{ 2 }\) :)

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