If 𝑥 = 7 − 4√3, then the value of √𝑥 + 1√𝑥 :(ii) Prove that :(𝑥𝑞+1𝑥𝑝+1)𝑞+𝑝. (𝑥𝑟+1𝑥𝑞+1)𝑟+𝑞. (𝑥𝑝+1𝑥𝑟+1 )𝑝+𝑟= 1

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If 𝑥 = 7 − 4√3, then the value of √𝑥 + 1√𝑥 :(ii) Prove that :(𝑥𝑞+1𝑥𝑝+1)𝑞+𝑝. (𝑥𝑟+1𝑥𝑞+1)𝑟+𝑞. (𝑥𝑝+1𝑥𝑟+1 )𝑝+𝑟= 1

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If 𝑥 = 7 − 4√3, then the value of √𝑥 + 1√𝑥 :(ii) Prove that :(𝑥𝑞+1𝑥𝑝+1)𝑞+𝑝. (𝑥𝑟+1𝑥𝑞+1)𝑟+𝑞. (𝑥𝑝+1𝑥𝑟+1 )𝑝+𝑟= 1

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If 𝑎 = 8 + 3 √7 and 𝑏 = 1𝑎 ,what will be the value of 𝑎2 + 𝑏2

If x = 7 + 4√3 and xy = 1, then the value of (1/x2 + 1/y2) is:7 + 4√3/ 7 - 4√385√319457

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