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441=x\sqrt{52}
Multiply 7 and 63 to get 441.
441=x\times 2\sqrt{13}
Factor 52=2^{2}\times 13. Rewrite the square root of the product \sqrt{2^{2}\times 13} as the product of square roots \sqrt{2^{2}}\sqrt{13}. Take the square root of 2^{2}.
x\times 2\sqrt{13}=441
Swap sides so that all variable terms are on the left hand side.
2\sqrt{13}x=441
The equation is in standard form.
\frac{2\sqrt{13}x}{2\sqrt{13}}=\frac{441}{2\sqrt{13}}
Divide both sides by 2\sqrt{13}.
x=\frac{441}{2\sqrt{13}}
Dividing by 2\sqrt{13} undoes the multiplication by 2\sqrt{13}.
x=\frac{441\sqrt{13}}{26}
Divide 441 by 2\sqrt{13}.