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\sqrt{64+24^{2}}
Calculate 8 to the power of 2 and get 64.
\sqrt{64+576}
Calculate 24 to the power of 2 and get 576.
\sqrt{640}
Add 64 and 576 to get 640.
8\sqrt{10}
Factor 640=8^{2}\times 10. Rewrite the square root of the product \sqrt{8^{2}\times 10} as the product of square roots \sqrt{8^{2}}\sqrt{10}. Take the square root of 8^{2}.