Question:
Factorise:
$x^{2}+3 \sqrt{3} x+6$
Solution:
$x^{2}+3 \sqrt{3} x+6$
$=x^{2}+2 \sqrt{3} x+\sqrt{3} x+6$
$=x(x+2 \sqrt{3})+\sqrt{3}(x+2 \sqrt{3})$
$=(x+2 \sqrt{3})(x+\sqrt{3})$
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