Math, asked by dashbidyut1004, 1 month ago




राशनलाइज वन बाय 1 प्लस रूट 3 ​

Answers

Answered by shashank9035
7

Question

Rationalize

 =  >  \frac{1}{1 +  \sqrt{3} }

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Solution

  =  > \frac{1}{1  +  \sqrt{3} }

 =  \frac{1 }{1 +  \sqrt{3} }  \times  \frac{1 -  \sqrt{3} }{1 -  \sqrt{3} }

  =  \frac{1 -   \sqrt{3}  }{ {1}^{2} -  (\sqrt{3} )^{2}  }

 =  \frac{1 -  \sqrt{3} }{1 - 3}  \\  \\  =  \frac{1 -  \sqrt{3} }{ - 2}  \:  \: answer

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