Solve for x
x = \frac{9 \sqrt{6}}{4} \approx 5.511351921
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2\sqrt{6}x=27
Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.
\frac{2\sqrt{6}x}{2\sqrt{6}}=\frac{27}{2\sqrt{6}}
Divide both sides by 2\sqrt{6}.
x=\frac{27}{2\sqrt{6}}
Dividing by 2\sqrt{6} undoes the multiplication by 2\sqrt{6}.
x=\frac{9\sqrt{6}}{4}
Divide 27 by 2\sqrt{6}.
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