Quantitative Aptitude Algebra Identities

 if 2\(\sqrt {2} \) x3 - 3\(\sqrt {3} \) y3 = \((\sqrt {2}x -\sqrt {3} y) \) (Ax2- Bxy+ Cy2),  then the value of \(\sqrt {(A^2 + B^2 + C^2)} \) is:

1
\(\sqrt {19} \)
2
\(\sqrt {11} \)
3
\(\sqrt {17} \)
4
\(\sqrt {21} \)

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