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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