If x = 8 - 32 and y = 2 + √2, then x+1y2 is given by:
Explanation:
x = 8 − √32 = 8 − 4√2 = 4(2 − √2)
1y = 12+2
On rationalising, we get
1y = 12+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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