वर्गमूल निकालिये
` ( x ^ 2 ) /( y^ 2 ) + ( y ^ 2 ) /( x ^ 2 ) + (1 ) /( 2i ) (( x )/( y ) + ( y ) / ( x )) + (31 ) /( 16 ) `

Explanation

`{:( (x ^ 2 ) /( y ^ 2 ) + ( y ^2 )/ ( x ^ 2 ) + ( 1 ) /( 2i) ( (x ) /( y ) + ( y ) /(x) ) + (31) /(16)) , ( = (x^ 2 ) /( y ^2) + ( y ^ 2 ) /( x ^2 ) + (31 ) /(16 ) - (i) /(2) ((x ) /( y ) + (y ) /( x)) ):}:|{:("Rough" : ((1 ) /(2) ((x)/(y) + (y)/(x)))/(2) = ( 1 ) /(4 ) xx ((x)/(y) + ( y ) / ( x ))),("और " ((x)/(y) + (y) /(x))^2 + ((i)/(4))^2 = (x^2)/(y^2) + (y^2)/(x^2) + (31)/(16)):}`
` = ((x ) /( y ) + ( y ) /( x ) ) ^ 2 + ((i)/(4))^2 - 2 (( x ) /(y ) + ( y ) / ( x ) ) ( i ) / (4 ) = (( x ) /(y) + (y) /(4) - (i) /( 4 )) ^ 2 `
` therefore ` अभीष्ट वर्गमूल ` = pm ((x)/(y) + ( y) /( x ) - ( i) /(4)) `