Math, asked by Sarim110, 1 year ago

Solution please! Ques. √5+√3 upon √5-√3

Answers

Answered by soniahaider
2
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Answered by zehn
0

 \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5}  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5} +  \sqrt{3}  }  \\  \\  =  \frac{ \sqrt{5} +  \sqrt{3} {}^{2}   }{ \sqrt{5} {}^{2} -  \sqrt{3} {}^{2}    }  \\  \\  \\  =  \frac{5 + 3 +  2\times  \sqrt{5} \times  \sqrt{3}  }  {5 - 3}  \\  \\  =  \frac{8 + 2 \times  \sqrt{15} }{2}  \\  = 4 +  \sqrt{15}
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