![(3+4\sqrt{5})(2-x\sqrt{5})\\ \\=3(2-x\sqrt{5})+4\sqrt{5}(2-x\sqrt{5})\\ \\=6-3x\sqrt{5}+8\sqrt{5}-4\sqrt{5}x\sqrt{5}\\ \\=6-3\sqrt{5}x+8\sqrt{5}-20x\ [\text{since} \sqrt{5}\cdot \sqrt{5}=5, \ \text{then }4\sqrt{5}\cdot \sqrt{5}=20]](/tpl/images/0437/7242/b8cae.png)
you have that
[tex]simplify[/tex]
[tex](3 + 4 \sqrt{5})(2 - x \sqrt{5}) = 2 \sqrt{5} - 34[/tex]...
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