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\sqrt{144\times 17}
Calculate the square root of 289 and get 17.
\sqrt{2448}
Multiply 144 and 17 to get 2448.
12\sqrt{17}
Factor 2448=12^{2}\times 17. Rewrite the square root of the product \sqrt{12^{2}\times 17} as the product of square roots \sqrt{12^{2}}\sqrt{17}. Take the square root of 12^{2}.