Factorise:

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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