Question

(root 3 + 2 root 3 - 4) / (4 + root 3 + 2 root 3)

Answer 1

Answer:

(43-24root3)/11

Step-by-step explanation:

$(\sqrt{3}+2\sqrt{3} -4)/(2\sqrt{3}+\sqrt{3}+4)\\ =( 3\sqrt{3} -4)/(3\sqrt{3}+4)$

rationalising we get

$(3\sqrt{3}-4)^{2} / ((3\sqrt{3} )^{2} -4^2)\\(27+16-24\sqrt{3})/(27-16) \\(43-24\sqrt{3})/11$

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