Răspuns :
[tex]\displaystyle\it\\3\sqrt{12\sqrt{2x}} =6\sqrt{6} ~\bigg| :3 \implies\\\sqrt{12\sqrt{2x}}=2\sqrt{6}~\bigg| ^2 \implies\\12\sqrt{2x}=24~\bigg| :12 \implies\\\sqrt{2x}=2 \implies 2x=4 \implies \boxed{\it x=2}~.[/tex]
Răspuns:
Explicație pas cu pas:
3√(12√2x) = 6√6 :3
√(12√2x) = 2√6 ( )²
12√2x =4*6 :12
√2x = 2 ( )²
2x = 4
x=2