anonymous
  • anonymous
Simplify.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1370544823515:dw|
anonymous
  • anonymous
@DoYourHomework
anonymous
  • anonymous
that is the same as \[(5 + \sqrt3)*(5+\sqrt3)\] are you familiar with FOIL?

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anonymous
  • anonymous
Yes, but I'm not good with it.
anonymous
  • anonymous
okay will we can just multiply this bad boy out now \[25 + 5\sqrt3+5\sqrt3 +3\]
anonymous
  • anonymous
= 25+10*sqrt(3)+3
anonymous
  • anonymous
the formula is for (a+b)^2 : a^2 + 2ab +b^2
anonymous
  • anonymous
I get the 25, @robz8 but where'd all the other stuff come from?
anonymous
  • anonymous
and I get the 5 times the square root of 3, but where'd the last 3 come from?
anonymous
  • anonymous
the last 3 came from \[\sqrt3*\sqrt3=3\]
anonymous
  • anonymous
Ohh. Makes sense.
anonymous
  • anonymous
So, then what's the next step?
anonymous
  • anonymous
well your question says to simplify, which i believe \[(5+\sqrt3)^{2}\] is the simplest form. what i did was expand it
anonymous
  • anonymous
to simplify my answer, just add up the 5sqrt(3)s together to get 10sqrt(3)
anonymous
  • anonymous
|dw:1370545295995:dw| |dw:1370545319259:dw| are the only options I have.
anonymous
  • anonymous
Is it the bottom one? (bc \[5^{2}\] + 3 equals 28?
anonymous
  • anonymous
yep, the bottom one looks right
anonymous
  • anonymous
Ah. And is my method of finding the answer the right method?
anonymous
  • anonymous
@robz8
anonymous
  • anonymous
your method? if it gives you the right answer every time, then the method is good
anonymous
  • anonymous
Ok, thanks!! :) I appreciate it.
anonymous
  • anonymous
you're welcome

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