Question

Factorise:x^2+5√3x+12​

Answer 1

Answer:

Step-by-step explanation:

$x^{2} +5\sqrt{3} x+12$

= $x^{2} +2\sqrt{3}x+3\sqrt{3}+3+9$

= $(x+\sqrt{3}) ^{2}+3\sqrt{3}(x+\sqrt{3} )$

= $(x+\sqrt{3}) ((x+\sqrt{3})+3\sqrt{3})$

=($(x+\sqrt{3}) (x+4\sqrt{3})$