Question

29. Factorise x^2 + 3√3 x + 6 please show working ​

Answer 1

Given quadratic expression:

x²+3√3x+6

Splitting the middle term, we get

=x²+2√3x+√3x+6

= x(x+2√3)+√3(x+2√3)

= (x+2√3)(x+√3)

∴ x²+3√3x+6 = (x+2√3)(x+√3)

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