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9\sqrt{2}-\sqrt{588}+\sqrt{450}
Factor 162=9^{2}\times 2. Rewrite the square root of the product \sqrt{9^{2}\times 2} as the product of square roots \sqrt{9^{2}}\sqrt{2}. Take the square root of 9^{2}.
9\sqrt{2}-14\sqrt{3}+\sqrt{450}
Factor 588=14^{2}\times 3. Rewrite the square root of the product \sqrt{14^{2}\times 3} as the product of square roots \sqrt{14^{2}}\sqrt{3}. Take the square root of 14^{2}.
9\sqrt{2}-14\sqrt{3}+15\sqrt{2}
Factor 450=15^{2}\times 2. Rewrite the square root of the product \sqrt{15^{2}\times 2} as the product of square roots \sqrt{15^{2}}\sqrt{2}. Take the square root of 15^{2}.
24\sqrt{2}-14\sqrt{3}
Combine 9\sqrt{2} and 15\sqrt{2} to get 24\sqrt{2}.