If a= 2-√5/2+√5, b = 2+ √5/ 2-√5 then find the value of a^2-b^2
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Step-by-step explanation:
a= 2-√5/2+√5, b = 2+ √5/ 2-√5
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+5-20)/4+5+20)-[(4+5+20/4+5-20)]
=(-11/29)-(29/-11)
=-11/29+29/11
=-121+841/319
=720/319
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