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\sqrt{100+5\times 144}
Calculate 12 to the power of 2 and get 144.
\sqrt{100+720}
Multiply 5 and 144 to get 720.
\sqrt{820}
Add 100 and 720 to get 820.
2\sqrt{205}
Factor 820=2^{2}\times 205. Rewrite the square root of the product \sqrt{2^{2}\times 205} as the product of square roots \sqrt{2^{2}}\sqrt{205}. Take the square root of 2^{2}.