Math, asked by btaaran, 10 months ago

3/5-√3 + 2/5+√3 pls tell​

Answers

Answered by Mihir1001
9
We have,

 \qquad \frac{3}{5 -  \sqrt{3} } \:  +  \:  \frac{2}{5 +  \sqrt{3} }  \\  \\  \\  =  \frac{3(5 +  \sqrt{3} ) + 2(5 -  \sqrt{3} )}{(5 -  \sqrt{3} )(5 +  \sqrt{3} )}  \\  \\  \\  =  \frac{15 + 3 \sqrt{3}  + 10 - 2 \sqrt{3} }{ {(5)}^{2}  -  {( \sqrt{3} )}^{2} }  \\  \\  \\  =  \frac{(15 + 10) + (3 - 2) \sqrt{3} }{25 - 3}  \\  \\  \\  =  \frac{25 +  \sqrt{3} }{22}
Answered by anjali5087
6

Hope you got your answer

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