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\sqrt{100+4^{2}}
Calculate 10 to the power of 2 and get 100.
\sqrt{100+16}
Calculate 4 to the power of 2 and get 16.
\sqrt{116}
Add 100 and 16 to get 116.
2\sqrt{29}
Factor 116=2^{2}\times 29. Rewrite the square root of the product \sqrt{2^{2}\times 29} as the product of square roots \sqrt{2^{2}}\sqrt{29}. Take the square root of 2^{2}.