Math, asked by rameshprasad57india, 9 months ago

maths question solve it​

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Answered by abhi52329
2

Step-by-step explanation:

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

 = 2 \sqrt{15}

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