1.

निकालिये ` sqrti + sqrt ( - i ) `

Answer» `{:(i = 0 + i = ( 1 ) / ( 2 ) ( 0 + 2i ) ) , ( = ( 1 ) / (2 ) ( 1^ 2 + i ^ 2 + 2i ) = ( 1 ) /(2) ( 1 + i) ^ 2 ) , ( therefore sqrti = pm (1 ) / (sqrt2) ( 1 + i) ) :}:| {:("Rough: " ( 2 ) /(2) = (1 ) = 1 xx 1 , i ^ 2 + 1 = 0 ) , ("यहाँ real part" = 0 ) , ( therefore "बराबर गुणनखण्ड 1 और 1 लें | "):} `...(i)
दोनों तरफ conjugates लेने पर,
` sqrt ( - i ) = pm ( 1 ) /( sqrt2 ) ( 1 - i ) " " `...(ii)
अब ` sqrt ( i + ) sqrt ( - i ) = pm ( 1 ) /( sqrt 2 ) ( 1 + i + 1 ) = pm ( 2 ) / ( sqrt2 ) = pm sqrt 2 `


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