Question

If a=2-√5/2+√5 and b= 2+√5/2-√5 ,then find a sq. and b sq.​

Answer 1

Answer:

a²-b²

=[2-√5/2+√5]²-[2+√5/2-√5]²

=[2-√5]²/[2+√5]²-[2+√5]²/[2-√5]²

=[4+5-4√5/4+5+4√5]-[4+5+4√5/4+5-4√5]²

=[9-4√5/9+4√5]-[9+4√5/9-4√5]

=[9-4√5]²-[9+4√5]²/9²-[4√5]²

=81+80-72√5-81-80-72√5/81-80

=-144√5/1

=-144√5

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Step-by-step explanation: