If both a and b are rational number then a and b from the following 3-

1.	If both a and b are rational number then a and b from the following 3-√5/3+2√5=a√5- b,are
Answer» LHS = ( 3 - √5 )/(3 + 2√5 )= [(3-√5)(2√5-3)]/[(2√5+3)(2√5-3)]= [6√5 - 9 -10 + 3√5 ]/[ ( 2√5 )² - 3² ]= ( 9√5 - 19 )/( 20 - 9 )= ( 9√5 - 19 )/11= ( 9/11 )√5 - 19/11 ---( 1 )= a√5 - b ----------( 2 ) [ RHS ]from ( 1 ) and ( 2 ) ,a = 9/11 ,b = 19/11

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