1) [TEX]\sqrt{3} x + \sqrt{3} = \sqrt{12} + \sqrt{27}[/TEX]
[TEX]\Leftrightarrow \sqrt{3}(x + 1) = 2 \sqrt{3} + 3 \sqrt{3}[/TEX]
[TEX]\Leftrightarrow \sqrt{3} (x + 1) = 5 \sqrt{3}[/TEX]
[TEX]\Leftrightarrow \Large x + 1 = \frac{5 \sqrt{3}}{\sqrt{3}}[/TEX]
[TEX]\Leftrightarrow x + 1 = 5[/TEX]
[TEX]\Leftrightarrow x = 4[/TEX]
2) Đề như vậy phải không? [TEX]\sqrt{3} x \sqrt{15} = \sqrt{25} : \sqrt{8}[/TEX]
Giải như sau: [TEX]\sqrt{3} x \sqrt{15} = \sqrt{25} : \sqrt{8}[/TEX]
[TEX]\Leftrightarrow \Large \sqrt{45} x = \sqrt{\frac{25}{8}}[/TEX]
[TEX]\Leftrightarrow \Large \sqrt{45} x = \frac{5 \sqrt{2}}{4}[/TEX]
[TEX]\Leftrightarrow \Large x = \frac{\frac{5 \sqrt{2}}{4}}{\sqrt{45}}[/TEX]
[TEX]\Leftrightarrow \Large x = \frac{\sqrt{10}}{12}[/TEX]