anonymous
  • anonymous
could someone please help me with rationalizing denominators?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[\sqrt{3}/\sqrt{28}\]
anonymous
  • anonymous
multiply and divide by root(28)
anonymous
  • anonymous
sqrt(84) /28

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anonymous
  • anonymous
2sqrt(21)/28
anonymous
  • anonymous
to rationalize a sqrt fraction, you multiply your fraction by the botton sqrt: \[\sqrt{3}/\sqrt{28} \times \sqrt{28}/\sqrt{28} = \sqrt{3}*\sqrt{?}\]
anonymous
  • anonymous
\[\sqrt{3}*\sqrt{28}/28\]
anonymous
  • anonymous
I still am not understanding what you mean by square root of 28. there is no square root, right? that is only when two numbers can multiply by each other and equal that number, right?
R
  • R
\[ \sqrt{3}\over \sqrt{28}\] =\[\sqrt{3}\sqrt{28}\over 28\]=\[\sqrt{84\over 28}\]=\[2\sqrt{21}\over28\]\[\sqrt{21}\over14\] You are multiplying both the numerator and denominator to rationalize the denominator and simplifying when possibler.
R
  • R
The number you are using is the radical in the denominator, in this case the square root of 28.

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