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\sqrt{16+12^{2}}
Calculate 4 to the power of 2 and get 16.
\sqrt{16+144}
Calculate 12 to the power of 2 and get 144.
\sqrt{160}
Add 16 and 144 to get 160.
4\sqrt{10}
Factor 160=4^{2}\times 10. Rewrite the square root of the product \sqrt{4^{2}\times 10} as the product of square roots \sqrt{4^{2}}\sqrt{10}. Take the square root of 4^{2}.