IF a = 3 + root 2/ 3 - root 2 , b = 1 / a find a 2 + b 2 ?
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a=3+√2/3-√2
b=1/a
by rationallising the denominators of a & b we get
a=11+6√2\7
b=77-42√2\13
now by using a2+b2=[a+b]2-2ab this identity you can solve easily
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