Question:
Factorise:
$x^{2}+5 \sqrt{5} x+30$
Solution:
$x^{2}+5 \sqrt{5} x+30$
$=x^{2}+3 \sqrt{5} x+2 \sqrt{5} x+30$
$=x(x+3 \sqrt{5})+2 \sqrt{5}(x+3 \sqrt{5})$
$=(x+3 \sqrt{5})(x+2 \sqrt{5})$
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