Hướng dẫn giải:
a. $x^{2}-3=x^{2}-(\sqrt{3})^{2}=(x-\sqrt{3})(x+\sqrt{3})$
b. $x^{2}-6=x^{2}-(\sqrt{6})^{2}=(x+\sqrt{6})(x-\sqrt{6})$
c. $x^{2}+2\sqrt{3}x+3=x^{2}+2.x.\sqrt{3}+(\sqrt{3})^{2}=(x+\sqrt{3})^{2}$
d. $x^{2}-2\sqrt{5}x+5=x^{2}-2.x.\sqrt{5}+(\sqrt{5})^{2}=(x-\sqrt{5})^{2}$
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