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\sqrt{1024-24^{2}}
Calculate 32 to the power of 2 and get 1024.
\sqrt{1024-576}
Calculate 24 to the power of 2 and get 576.
\sqrt{448}
Subtract 576 from 1024 to get 448.
8\sqrt{7}
Factor 448=8^{2}\times 7. Rewrite the square root of the product \sqrt{8^{2}\times 7} as the product of square roots \sqrt{8^{2}}\sqrt{7}. Take the square root of 8^{2}.