Question

x'2+3√3x+6
Gactorise​

Answer 1

Answer:

Step-by-step explanation:

split the middle term

x²+3√3x+6 = (x+2√3)(x+√3)

Explanation:

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)

Therefore,

x²+3√3x+6 = (x+2√3)(x+√3)