bentuk sederhana dari 2+4√2 : 3+2√2

[tex] \frac{2 + 4 \sqrt{2} }{3 + 2 \sqrt{2} } \times \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} } \\ = \frac{6 - 4 \sqrt{2} + 12 \sqrt{2} - 8 \times 2 }{9 - 6 \sqrt{2} + 6 \sqrt{2} - 2 \times 2} \\ = \frac{6 + 8 \sqrt{2} - 16 }{9 - 4} \\ = \frac{8 \sqrt{2} + 10}{5} [/tex]