Factorise x 2 + 3 root 3 x + 6
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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)
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