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\sqrt{900-6^{2}}
Calculate 30 to the power of 2 and get 900.
\sqrt{900-36}
Calculate 6 to the power of 2 and get 36.
\sqrt{864}
Subtract 36 from 900 to get 864.
12\sqrt{6}
Factor 864=12^{2}\times 6. Rewrite the square root of the product \sqrt{12^{2}\times 6} as the product of square roots \sqrt{12^{2}}\sqrt{6}. Take the square root of 12^{2}.