Factorise:

Question:

Factorise:

$x^{2}+7 \sqrt{6} x+60$

 

Solution:

$x^{2}+7 \sqrt{6} x+60$

$=x^{2}+5 \sqrt{6} x+2 \sqrt{6} x+60$

$=x(x+5 \sqrt{6})+2 \sqrt{6}(x+5 \sqrt{6})$

$=(x+5 \sqrt{6})(x+2 \sqrt{6})$

 

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