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26\times 2\sqrt{1709}
Factor 6836=2^{2}\times 1709. Rewrite the square root of the product \sqrt{2^{2}\times 1709} as the product of square roots \sqrt{2^{2}}\sqrt{1709}. Take the square root of 2^{2}.
52\sqrt{1709}
Multiply 26 and 2 to get 52.