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3\sqrt{2}+4\sqrt{2}-\frac{\sqrt{12}}{\sqrt{3}}
Factor 18=3^{2}\times 2. Rewrite the square root of the product \sqrt{3^{2}\times 2} as the product of square roots \sqrt{3^{2}}\sqrt{2}. Take the square root of 3^{2}.
7\sqrt{2}-\frac{\sqrt{12}}{\sqrt{3}}
Combine 3\sqrt{2} and 4\sqrt{2} to get 7\sqrt{2}.
7\sqrt{2}-\sqrt{4}
Rewrite the division of square roots \frac{\sqrt{12}}{\sqrt{3}} as the square root of the division \sqrt{\frac{12}{3}} and perform the division.
7\sqrt{2}-2
Calculate the square root of 4 and get 2.