anonymous
  • anonymous
How do you rationalize √(1/12) ? the answer should be (√3)/6
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Rationalize the denominator you mean?
anonymous
  • anonymous
yes
anonymous
  • anonymous
You would want the denominator to be the square root of a perfect square.

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anonymous
  • anonymous
Thus you need to multiply the numerator and denominator by a value to do this
anonymous
  • anonymous
|dw:1327683116150:dw|
anonymous
  • anonymous
You could also have multiplied by the sqrt(3)/sqrt(3), which would've elimated the factoring
anonymous
  • anonymous
yes, many different ways to solve ...
anonymous
  • anonymous
Anyways..understand alex?
anonymous
  • anonymous
so \[\sqrt{3/64} = \sqrt{3}/8\] ?
anonymous
  • anonymous
Not quite, I'll explain it a bit better
anonymous
  • anonymous
To rationalize the denominator, you need to remove the roots by making the number inside the roots equal a whole number.
anonymous
  • anonymous
So if you multiply both the numerator and denominator by sqrt(3), the denominator would be the sqrt(36), which is factorable to a whole number (6)
anonymous
  • anonymous
Then carry out the multiplication of sqrt(3) in the numerator
anonymous
  • anonymous
im confused, where did you get 36 from? i have square root of 3 over square root of 64
anonymous
  • anonymous
ok
anonymous
  • anonymous
sqrt(3)*sqrt(12)=?
anonymous
  • anonymous
This is the denominator
anonymous
  • anonymous
I get it now thank you
anonymous
  • anonymous
NP

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