Solve for x
x=\frac{2\sqrt{689}}{3243}\approx 0.01618798
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\sqrt{2756}=47\times 69x
Multiply 52 and 53 to get 2756.
2\sqrt{689}=47\times 69x
Factor 2756=2^{2}\times 689. Rewrite the square root of the product \sqrt{2^{2}\times 689} as the product of square roots \sqrt{2^{2}}\sqrt{689}. Take the square root of 2^{2}.
2\sqrt{689}=3243x
Multiply 47 and 69 to get 3243.
3243x=2\sqrt{689}
Swap sides so that all variable terms are on the left hand side.
\frac{3243x}{3243}=\frac{2\sqrt{689}}{3243}
Divide both sides by 3243.
x=\frac{2\sqrt{689}}{3243}
Dividing by 3243 undoes the multiplication by 3243.
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