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lisapressley2001
lisapressley2001 lisapressley2001
  • 03-01-2017
  • Mathematics
Answered

  1. Rationalize the denominator and simplify: √3y/√x

Verified Answer :

dexteright02
dexteright02 dexteright02
  • 03-01-2017

\(\frac{ \sqrt{3y} }{ \sqrt{x} } = \frac{ \sqrt{3x} * \sqrt{3y} }{ \sqrt{x} * \sqrt{x} } = \frac{ \sqrt{3x*3y} }{ (\sqrt{x})^2 } = \frac{ \sqrt{3^{2}*x*y} }{x} = \frac{ \sqrt{ 3^{2} }* \sqrt{x*y} }{x} = \frac{3* \sqrt{x*y} }{x} = \boxed{\frac{3 \sqrt{xy} }{x}}\)

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