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\sqrt{2}\left(\sqrt{3}\right)^{2}\sqrt{2}\sqrt{2}
Factor 4=2\times 2. Rewrite the square root of the product \sqrt{2\times 2} as the product of square roots \sqrt{2}\sqrt{2}.
2\left(\sqrt{3}\right)^{2}\sqrt{2}
Multiply \sqrt{2} and \sqrt{2} to get 2.
2\times 3\sqrt{2}
The square of \sqrt{3} is 3.
6\sqrt{2}
Multiply 2 and 3 to get 6.