Math, asked by masham, 11 months ago

plz help it is very very difficult​

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Answered by Anonymous
4

Solution

 =  \frac{ \sqrt{5}  +  \sqrt{3} }{ \sqrt{5} -  \sqrt{3}  }  +  \frac{ \sqrt{5} -  \sqrt{3}  }{ \sqrt{5} +  \sqrt{3}  }  \\  =  \frac{( \sqrt{5}  +  \sqrt{3})( \sqrt{5}   + \sqrt{3} ) + ( \sqrt{5}   -  \sqrt{3})( \sqrt{5}   -   \sqrt{3})  }{( \sqrt{5}  +  \sqrt{3})( \sqrt{5} -  \sqrt{3}   )}  \\  =  \frac{( \sqrt{5} +  \sqrt{3}  ) {}^{2}  + ( \sqrt{5}  -  \sqrt{3} ) {}^{2} }{( \sqrt{5} ) {}^{2} -  (\sqrt{3} )  {}^{2} }  \\  =  \frac{2( (\sqrt{5} ) {}^{2}  + ( \sqrt{2} ) {}^{2} )}{5 -3}  \\  =  \frac{2(5 + 3)}{2}  \\  = 8

answer is 8

formula used here....

(a+b)²+(a-b)²=2(a²+b²)

(a+b)(a-b)=a²-b²

Answered by gauransharora16
0

Answer:

It is very easy just rationlise it. Give a difficult question then i will answer it.

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