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4584\times 2\sqrt{129}
Factor 516=2^{2}\times 129. Rewrite the square root of the product \sqrt{2^{2}\times 129} as the product of square roots \sqrt{2^{2}}\sqrt{129}. Take the square root of 2^{2}.
9168\sqrt{129}
Multiply 4584 and 2 to get 9168.