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Explanation:

x = 8 − √32 = 8 − 4√2 = 4(2 − √2)

1y12+2

On rationalising, we get 

1y12+2×2-22-2 = 2-22 = x8

∴ x + 1/y = x + x/8 = 9x/8

x+1y2 = x+x82 = 9x82 = 81x264

Hence option (d).

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