Math, asked by yatikagungun, 9 months ago

rationalise 2÷√5-√3

Answers

Answered by deve11
2

Step-by-step explanation:

 \frac{2}{ \sqrt{5} -  \sqrt{3}  }  \times  \frac{ \sqrt{5 +  \sqrt{3} } }{ \sqrt{5}  +  \sqrt{3} }  =  \frac{2( \sqrt{5 }  +  \sqrt{3} }{ {( \sqrt{5)} }^{2} -   {( \sqrt{3)} }^{2}   }

 =  \frac{2( \sqrt{5} -  \sqrt{3} )  }{5 - 3}  =  \frac{2( \sqrt{5}  -  \sqrt{3} }{2}

 =  \sqrt{5}  -  \sqrt{3}

Answered by Anonymous
1

answer attached is photo

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