anonymous
  • anonymous
5 sqrt10(18 - sqrt6)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Are you asking \[5\sqrt{10(18-\sqrt{6})}\]?
anonymous
  • anonymous
no 5 sqrt10 (18- sqrt6)
anonymous
  • anonymous
So... \[5\sqrt{10}(18-\sqrt{6})\]?

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anonymous
  • anonymous
yes
anonymous
  • anonymous
\[90\sqrt{10}-5\sqrt{60}\] \[90\sqrt{10}-10\sqrt{15}\]
anonymous
  • anonymous
how did you get the 15?
anonymous
  • anonymous
5*sqrt(60) = 5*sqrt(4)*sqrt(15)=5*2*sqrt(15)=10*sqrt(15).
anonymous
  • anonymous
ok thanks i got it can i ask another question?
anonymous
  • anonymous
Sure... just post another one, unless your question pertains to the one you just asked me.
anonymous
  • anonymous
sqrt5 divided by 18 + sqrt3
anonymous
  • anonymous
Are you trying to rationalize it?
anonymous
  • anonymous
i don't know. i think i just need to simplify it
anonymous
  • anonymous
It is basically simplified already. Rationalize means that there can't be any roots in the denominator.
anonymous
  • anonymous
yes - rationalize it please
anonymous
  • anonymous
sqrt(5)/(18+sqrt(3)). Multiply both the top and bottom by 18-sqrt(3). On the top, you have sqrt(5)(18-sqrt(3)). On the bottom, you have 18^2-3. I hope you can simplify from here.
anonymous
  • anonymous
what does the ^ sign mean?
anonymous
  • anonymous
power or exponentiation.

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