Question

question 3 for which value of x does \\(\sqrt{x}\\) simplify to \\(6\sqrt{3}\\) ? \\(\bigcirc\\) 1008 \\(\bigcirc\\) 108 \\(\bigcirc\\) 18 \\(\bigcirc\\) (arrow pointing to this option)

Explanation:

Step1: Square both sides to eliminate the square root.

If $\sqrt{x} = 6\sqrt{3}$, then squaring both sides gives $(\sqrt{x})^2=(6\sqrt{3})^2$.

Step2: Simplify both sides.

Left side: $(\sqrt{x})^2 = x$.
Right side: $(6\sqrt{3})^2 = 6^2\times(\sqrt{3})^2 = 36\times3 = 108$.

Answer:

108 (corresponding to the option "108")