Question

\(\sqrt{3}x+\sqrt{12}x=\sqrt{27}\)

Answer 1

\(\Leftrightarrow\sqrt{3}x+2\sqrt{3}x=\sqrt{27}\)

\(\Leftrightarrow3x\sqrt{3}=\sqrt{27}\)

\(\Leftrightarrow x=1\)

Answer 2

\(\sqrt{3x}+\sqrt{12x}=\sqrt{27}\)

\(\Leftrightarrow\sqrt{3x}+\sqrt{2^2.3x}=3\sqrt{3}\)

\(\Leftrightarrow\left(2+1\right)\sqrt{3x}=3\sqrt{3}\)

\(\Leftrightarrow3\sqrt{3x}=3\sqrt{3}\)

`<=> x = 1`