Question:
Factorise:
$x^{2}+\sqrt{2} x-24$
Solution:
$x^{2}+\sqrt{2} x-24$
$=x^{2}+4 \sqrt{2} x-3 \sqrt{2} x-24$
$=x(x+4 \sqrt{2})-3 \sqrt{2}(x+4 \sqrt{2})$
$=(x+4 \sqrt{2})(x-3 \sqrt{2})$
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