Question

factorize 5x^2+3 root 3x-6​

Answer 1

Answer:

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+(√3)(2√3)

= x(x+2√3)+√3(x+2√3)

=(x+2√3)(x+√3)

Therefore,

x²+3√3x+6 = (x+2√3)(x+√3)