[tex]S=6x^2
\\ \text{first, cancel the 6 by division:}
\\
\\ \frac{S}{6}=\frac{6x^2}{6}
\\ \frac{S}{6}=x^2
\\
\\ \text{next, cancel the exponent by taking the square root:}
\\
\\ \sqrt{\frac{S}{6}}=\sqrt{x^2}
\\ \frac{\sqrt{S}}{\sqrt{6}}=x
\\[/tex]
Rationalize the denominator by multiplying by the square root of 6:
[tex]\frac{\sqrt{S}*\sqrt{6}}{\sqrt{6}*\sqrt{6}}=x
\\
\\ \frac{\sqrt{S*6}}{\sqrt{6*6}}=x
\\
\\ \frac{\sqrt{6S}}{6}=x[/tex]
