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\sqrt{25\times 6^{2}\times 3^{4}}
Calculate 5 to the power of 2 and get 25.
\sqrt{25\times 36\times 3^{4}}
Calculate 6 to the power of 2 and get 36.
\sqrt{900\times 3^{4}}
Multiply 25 and 36 to get 900.
\sqrt{900\times 81}
Calculate 3 to the power of 4 and get 81.
\sqrt{72900}
Multiply 900 and 81 to get 72900.
270
Calculate the square root of 72900 and get 270.