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\sqrt{100+8^{2}}
Calculate 10 to the power of 2 and get 100.
\sqrt{100+64}
Calculate 8 to the power of 2 and get 64.
\sqrt{164}
Add 100 and 64 to get 164.
2\sqrt{41}
Factor 164=2^{2}\times 41. Rewrite the square root of the product \sqrt{2^{2}\times 41} as the product of square roots \sqrt{2^{2}}\sqrt{41}. Take the square root of 2^{2}.