a)
\(\sqrt{2}.x - \sqrt{50} = 0\)
\(\Leftrightarrow \sqrt{2}x=\sqrt{50}\)
\(\Leftrightarrow x=\dfrac{\sqrt{50}}{\sqrt{2}}\)
\(\Leftrightarrow x =\sqrt{\dfrac{50}{2}}\)
\(\Leftrightarrow x= \sqrt{25}\)
\(\Leftrightarrow x= \sqrt{5^2}\)
\(\Leftrightarrow x=5\).
Vậy \(x=5\).
b)
\(\sqrt{3}.x + \sqrt{3} = \sqrt{12} + \sqrt{27}\)
\( \Leftrightarrow \sqrt{3}.x = \sqrt{12} + \sqrt{27} - \sqrt{3}\)
\(\Leftrightarrow \sqrt{3}.x=\sqrt{4.3}+\sqrt{9.3}- \sqrt{3}\)
\(\Leftrightarrow \sqrt{3}.x=\sqrt{4}. \sqrt{3}+\sqrt{9}. \sqrt{3}- \sqrt{3}\)
\(\Leftrightarrow \sqrt{3}.x=\sqrt{2^2}. \sqrt{3}+\sqrt{3^2}. \sqrt{3}- \sqrt{3}\)
\(\Leftrightarrow \sqrt{3}.x=2 \sqrt{3}+3\sqrt{3}- \sqrt{3}\)
\(\Leftrightarrow \sqrt{3}.x=(2+3-1).\sqrt{3}\)
\(\Leftrightarrow \sqrt{3}.x=4\sqrt{3}\)
\(\Leftrightarrow x=4\).
Vậy \(x=4\).
Hai câu còn lại em làm tương tự nhé.
