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2\times 2\sqrt{114}
Factor 456=2^{2}\times 114. Rewrite the square root of the product \sqrt{2^{2}\times 114} as the product of square roots \sqrt{2^{2}}\sqrt{114}. Take the square root of 2^{2}.
4\sqrt{114}
Multiply 2 and 2 to get 4.