Question

factorization : x²+3√3x+6​

Answer 1

Step-by-step explanation:

We have 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)

Answer 2

Step-by-step explanation:

${x}^{2} + 3 \sqrt{3} x + 6 \\ = {x}^{2} + \sqrt{3} x + 2\sqrt{3} x + 6 \\ = x(x + \sqrt{3} ) + 2 \sqrt{3} (x + \sqrt{3} ) \\ = (x + 2 \sqrt{3} )(x + \sqrt{3} )$