Question

$x + y = \sqrt{3} \: and \: x - \sqrt{2 } = y \: \: then \\ xy = \: what$


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Answer 1

X+Y = 3^(1/2)
Therefore, Y=3^(1/2)-X — 1

X-2^(1/2) = Y
Therefore, X=Y+2^(1/2) — 2

Therefore,
XY = (3^(1/2)-X)(2^(1/2)+X)
= 6^(1/2) + (3^(1/2))Y - (2^(1/2))X - XY