anonymous
  • anonymous
How do I simplify √1/4x^2?
Mathematics
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anonymous
  • anonymous
How do I simplify √1/4x^2?
Mathematics
schrodinger
  • schrodinger
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UnkleRhaukus
  • UnkleRhaukus
is that \[\sqrt{\frac1{4x^2}}\]?
UnkleRhaukus
  • UnkleRhaukus
\[\sqrt{\frac1{4x^2}}=\frac{\sqrt1}{\sqrt{4x^2}}=\frac{\sqrt1}{\sqrt{4}\sqrt{x^2}}= \dots\]
anonymous
  • anonymous
Oh so would the final answer be x/2 ?

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UnkleRhaukus
  • UnkleRhaukus
almost,
anonymous
  • anonymous
SO you multiply 2x on both sides, giving us 2x? or do you have to do something with the √1?
UnkleRhaukus
  • UnkleRhaukus
don't multiply anything, just simplify each square root term
anonymous
  • anonymous
√1/2x
UnkleRhaukus
  • UnkleRhaukus
yeah that's right, and you can simplify √1
anonymous
  • anonymous
The only thing I don't understand is that the x does not have a specific place, so can we determine that it is the bottom or the top, and if so how?
UnkleRhaukus
  • UnkleRhaukus
oh, i interpreted your question wrong.
UnkleRhaukus
  • UnkleRhaukus
\[\sqrt{\frac14x^2}=\sqrt{\frac14}\sqrt{x^2}=\frac{\sqrt1}{\sqrt4}\sqrt{x^2}=\frac{1}{2}x=x/2\] as you said originally
anonymous
  • anonymous
Ok, thank you SO much!
UnkleRhaukus
  • UnkleRhaukus
NB we have only computed the principal square roots

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