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Simplify : 3/(5-sqrt(3))+2/(5+\ sqrt(...

Simplify : `3/(5-sqrt(3))+2/(5+\ sqrt(3))`

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`(3)/(5-sqrt3)+(2)/(5+sqrt3)=(2)/(5-sqrt3)xx(5+sqrt3)/(5+sqrt3)+(2)/(5+sqrt3)xx(5-sqrt3)/(5-sqrt3)`
`implies(3)/(5-sqrt3)+(2)/(5+sqrt3)=(3(5+sqrt(3)))/((5-sqrt3)(5+sqrt3))+(2(5-sqrt3))/((5+sqrt3)(5-sqrt3))`
`implies(3)/(5-sqrt3)+(2)/(5+sqrt3)=(3(5+sqrt3))/(5^(2)-(sqrt3)^(2))+(2(5-sqrt3))/(5^(2)-(sqrt3)^(2))=(3(5+sqrt3)+2(5-sqrt3))/(5^(2)-(sqrt3)^(2))`
`implies(3)/(5-sqrt3)+(2)/(5+sqrt3)=(15+3sqrt3+10-2sqrt3)/(25-3)=(25+sqrt3)/(22)`
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RD SHARMA-RATIONALISATION -All Questions
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