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\sqrt{12}=v
Rewrite the division of square roots \frac{\sqrt{204}}{\sqrt{17}} as the square root of the division \sqrt{\frac{204}{17}} and perform the division.
2\sqrt{3}=v
Factor 12=2^{2}\times 3. Rewrite the square root of the product \sqrt{2^{2}\times 3} as the product of square roots \sqrt{2^{2}}\sqrt{3}. Take the square root of 2^{2}.
v=2\sqrt{3}
Swap sides so that all variable terms are on the left hand side.