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\sqrt{256+76^{2}}
Calculate 16 to the power of 2 and get 256.
\sqrt{256+5776}
Calculate 76 to the power of 2 and get 5776.
\sqrt{6032}
Add 256 and 5776 to get 6032.
4\sqrt{377}
Factor 6032=4^{2}\times 377. Rewrite the square root of the product \sqrt{4^{2}\times 377} as the product of square roots \sqrt{4^{2}}\sqrt{377}. Take the square root of 4^{2}.