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3486784401\sqrt{27}=3x
Calculate 81 to the power of 5 and get 3486784401.
3486784401\times 3\sqrt{3}=3x
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
10460353203\sqrt{3}=3x
Multiply 3486784401 and 3 to get 10460353203.
3x=10460353203\sqrt{3}
Swap sides so that all variable terms are on the left hand side.
\frac{3x}{3}=\frac{10460353203\sqrt{3}}{3}
Divide both sides by 3.
x=\frac{10460353203\sqrt{3}}{3}
Dividing by 3 undoes the multiplication by 3.
x=3486784401\sqrt{3}
Divide 10460353203\sqrt{3} by 3.