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If a=√5+√2/√5-√2 and b=√5-√2/√5+√2 find the …

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If a=√5+√2/√5-√2 and b=√5-√2/√5+√2 find the value of a²+ab+b²/a²-ab+b²

Posted by Krishna Preetha 6 years, 2 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 6 years, 2 months ago

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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