simplify 1/2+root3+2/root5-root2+1/2-root5
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1/ ( 2 + √3 )
= ( 2 - √3 ) / [( 2 + √3 ) ( 2 - √3 )]
= ( 2 - √3 ) / [ 4 - 3 ]
= 2 - √3 ---( 1 )
2 / ( √5 - √3 )
= 2 ( √5 + √3 ) / [ ( √5 - √3 )(√5 + √3 ) ]
= 2( √5 + √3 ) / ( 5 - 3 )
= 2 ( √5 + √3 )/ 2
= √5 + √3 ----( 2 )
1/( 2 - √5 )
= ( 2 + √5 ) / [ ( 2 - √5 ) ( 2 + √5 ) ]
= ( 2 + √5 ) / [ 4 - 5 ]
√= - ( 2 + √5 ) ---- ( 3 )
( 1 ) + ( 2 ) + ( 3 )
= 2 - √3 + √5 + √3 - ( 2 + √5 )
= 2 - √3 + √5 + √3 - 2 - √5
= 0 is the answer
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