Question

Factorise: X² + 3√3x +6

Answer 1

${x}^{2} + \sqrt{3} x + 2 \sqrt{3} x + 6 \\ x(x + \sqrt{3)} \: + 2 \sqrt{3} (x + \sqrt{3} ) \\ (x + \sqrt{3} )(x + 2 \sqrt{3} )$
here x= -√3
or -2√3

Answer 2

Answer:

x²+3√3x+6 = (x+2√3)(x+√3)

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)

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