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\sqrt{144+24^{2}}
Calculate 12 to the power of 2 and get 144.
\sqrt{144+576}
Calculate 24 to the power of 2 and get 576.
\sqrt{720}
Add 144 and 576 to get 720.
12\sqrt{5}
Factor 720=12^{2}\times 5. Rewrite the square root of the product \sqrt{12^{2}\times 5} as the product of square roots \sqrt{12^{2}}\sqrt{5}. Take the square root of 12^{2}.