Matematika Sekolah Menengah Atas C. (4sqrt(3))/(2sqrt(3) - 3) ​

brookedoyleulv – April 20, 2023

C. (4sqrt(3))/(2sqrt(3) - 3) ​

[tex]\frac{4 \sqrt{3}}{2 \sqrt{3} - 3} = \frac{4 \sqrt{3}}{2 \sqrt{3} - 3} \times \frac{2 \sqrt{3} + 3}{2 \sqrt{3} + 3} = \frac{(4 \sqrt{3})(2 \sqrt{3} + 3)}{(2 \sqrt{3} - 3)(2 \sqrt{3} + 3)} [/tex]

[tex]= \frac{8 \sqrt{9} + 12 \sqrt{3}}{4 \sqrt{9} + 6 \sqrt{3} - 6 \sqrt{3} - 9} [/tex]

[tex]= \frac{8 \times 3 + 12 \sqrt{3}}{4 \sqrt{9} - 9} [/tex]

[tex]= \frac{24 + 12 \sqrt{3}}{4 \times 3 - 9} = \frac{24 + 12 \sqrt{3}}{12 - 9} = \frac{24 + 12 \sqrt{3}}{3} = 8 + 4 \sqrt{3} [/tex]

[answer.2.content]