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\sqrt{3\times 4}=z
Calculate 2 to the power of 2 and get 4.
\sqrt{12}=z
Multiply 3 and 4 to get 12.
2\sqrt{3}=z
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}.
z=2\sqrt{3}
Swap sides so that all variable terms are on the left hand side.