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4\times 8\sqrt{419099}
Factor 26822336=8^{2}\times 419099. Rewrite the square root of the product \sqrt{8^{2}\times 419099} as the product of square roots \sqrt{8^{2}}\sqrt{419099}. Take the square root of 8^{2}.
32\sqrt{419099}
Multiply 4 and 8 to get 32.