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\sqrt{144-6^{2}}
Calculate 12 to the power of 2 and get 144.
\sqrt{144-36}
Calculate 6 to the power of 2 and get 36.
\sqrt{108}
Subtract 36 from 144 to get 108.
6\sqrt{3}
Factor 108=6^{2}\times 3. Rewrite the square root of the product \sqrt{6^{2}\times 3} as the product of square roots \sqrt{6^{2}}\sqrt{3}. Take the square root of 6^{2}.