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\sqrt{576+15^{2}}
Calculate 24 to the power of 2 and get 576.
\sqrt{576+225}
Calculate 15 to the power of 2 and get 225.
\sqrt{801}
Add 576 and 225 to get 801.
3\sqrt{89}
Factor 801=3^{2}\times 89. Rewrite the square root of the product \sqrt{3^{2}\times 89} as the product of square roots \sqrt{3^{2}}\sqrt{89}. Take the square root of 3^{2}.