Math, asked by felixity, 4 hours ago

3√5+√3 / √5-3 rationalise the denominator​

Answers

Answered by chnaidu1969
0

Step-by-step explanation:

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Answered by BrainlyAstro
2

Solution

  \frac{3 \sqrt{5}  +  \sqrt{3}  }{ \sqrt{5}  -  \sqrt{3} }  =  \frac{3  \sqrt{5}  +  \sqrt{3}  }{ \sqrt{5 }  -  \sqrt{3} }  \times  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5} +  \sqrt{3}  } \\  \\  =  \frac{15 + 3 \sqrt{15}  +  \sqrt{15}  + 3}{ {( \sqrt{5)} }^{2}  -  {( \sqrt{3)} }^{2} }  \\  \\  = 18 + 4 \sqrt{15}  =  \frac{2(9 + 2 \sqrt{15}) }{2}  = 9 + 2 \sqrt{15}

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