P = 2-√3÷2+√3 and q = 2+√3÷2-√3
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Answer: p 2 +q 2 = ( √ 3 −√ 2/ √3 +√ 2 )(2)
= ( √ 3 −√ 2/ √ 3 +√ 2 ( √ 3 −√ 2/ √ 3 −√ 2 )) (2) +( √ 3 +√ 2 / √ 3 −√ 2 ( √ 3 +√ 2/ √ 3 +√ 2 )) (2)
=(3+2−2√ 6 ) (2) + (3+2+2√ 6 ) (2)
=25+24−20√ 6 + 25 + 24 + 20√ 6
= 98
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