. If = 2−√5/2+√5 and = 2+√5/2−√5 find the value of square − square.
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Step-by-step explanation:
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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