Question

Factorise, x ² + 3√3x +6​

Answer 1

Answer:

$\boxed {\boxed{ \huge{ \red{ \bold{ \underline{ANSWER}}}}}}$

x²+3√3x+6 = (x+2√3)(x+√3)

Given quadratic expression:

x²+3√3x+6

Splitting the middle term, we get

=x²+2√3x+√3x+6

= x²+2√3x+√3x+2×√3×√3

= x(x+2√3)+√3(x+2√3)

= (x+2√3)(x+√3)

x²+3√3x+6 = (x+2√3)(x+√3)

$\boxed {\boxed{ { \red{ \bold{ \underline{I \: HOPE \: ITS \: HELP \: YOU}}}}}}$