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\sqrt{144+15^{2}}
Calculate 12 to the power of 2 and get 144.
\sqrt{144+225}
Calculate 15 to the power of 2 and get 225.
\sqrt{369}
Add 144 and 225 to get 369.
3\sqrt{41}
Factor 369=3^{2}\times 41. Rewrite the square root of the product \sqrt{3^{2}\times 41} as the product of square roots \sqrt{3^{2}}\sqrt{41}. Take the square root of 3^{2}.