Question

factorise under root 3x^2 +5x + 2under root 3​

Answer 1

Answer:

(x+√3)(√3x+2)

Step-by-step explanation:

√3x²+5x+2√3

=√3x²+3x+2x+2√3

=√3x(x+√3)+2(x+2√3)

=(x+√3)(√3x+2)

Answer 2

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Step by step solution:

$Given \ p(x)=\sqrt{3} x^{2}+5x+2\sqrt{3}\\\\ we \ have \ to \ factorise \ it\\\\Let \ us \ do\\\\p(x)=\sqrt{3} x^{2}+5x+2\sqrt{3}\\\\p(x)=\sqrt{3}x^{2}+3x+2x+2\sqrt{3}\\\\p(x)=\sqrt{3}x(x+\sqrt{3})+2(x+\sqrt{3})\\\\p(x)=(x+\sqrt{3})(\sqrt{3}x+2)\\\\So \ we \ have \ factorise \ it.$

Hope it is clear to you.