$ 2 \times 5^3 \times 11^{2} \times 2^3  \times 5 \times 7^2 =2^4\times 5^4\times 7^2\times 11^2$ $\sqrt{2^4\times 5^4\times 7^2\times 11^2}=2^2\times 5^2\times 7\times 11=7700$