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\sqrt{256-6^{2}}
Calculate 16 to the power of 2 and get 256.
\sqrt{256-36}
Calculate 6 to the power of 2 and get 36.
\sqrt{220}
Subtract 36 from 256 to get 220.
2\sqrt{55}
Factor 220=2^{2}\times 55. Rewrite the square root of the product \sqrt{2^{2}\times 55} as the product of square roots \sqrt{2^{2}}\sqrt{55}. Take the square root of 2^{2}.