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25\sqrt{27\text{bmod}\left(52\times 62\right)}
Calculate 5 to the power of 2 and get 25.
25\sqrt{27\text{bmod}3224}
Multiply 52 and 62 to get 3224.
25\sqrt{27}
Divide 27 by 3224 to get the remainder 27.
25\times 3\sqrt{3}
Factor 27=3^{2}\times 3. Rewrite the square root of the product \sqrt{3^{2}\times 3} as the product of square roots \sqrt{3^{2}}\sqrt{3}. Take the square root of 3^{2}.
75\sqrt{3}
Multiply 25 and 3 to get 75.