anonymous
  • anonymous
simplify: 4 over 2 + radical 3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
So 4/2=2. So 2+radical3 is simplified, since you can not do anything more with the radical 3
anonymous
  • anonymous
\[4\div \left( 2 + \sqrt{3} \right)\]
anonymous
  • anonymous
Is that what you meant?

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anonymous
  • anonymous
its 4 over 2+ radical 3
anonymous
  • anonymous
yes
anonymous
  • anonymous
Or did you mean 4/(2+rad3)
anonymous
  • anonymous
Ah nevermind, my computer loaded up what dashingblock typed earlier. :)
anonymous
  • anonymous
Okay, so you can't have a radical in the denominator. If you multiply the radical by itself directly, then you get just the number under the radical. But you have to make sure whatever you're multiplying by is a one. Let me show you in mathematical terms. Dr. Pepper, shall I take this one and you can help another? :P
anonymous
  • anonymous
So: 2 ________ 2 + rad3 Rad 3 times rad 3 gives you rad 9, right?
anonymous
  • anonymous
\[\sqrt{9}\]And that is equal to the number three since the square root of 9 is 3. This means you now have: 2 _____ 2+3 So really, 2 ____ 5 But there's a problem because if you are going to multiply one part of a fraction (say, the denominator) by something, you must multiply the other part (numerator) by the same thing.
anonymous
  • anonymous
So now its: 2 multiplied by \[\sqrt{3}\] __________________ 5
anonymous
  • anonymous
Oh, dang, please replace all of my numerator 2 with numerator 4! Whoops, sorry! This is the correct answer : \[4\sqrt{3} \div 5\]

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