Step-by-step explanation:
[tex]2 \sqrt{10000} \\ = 2 \sqrt{ {10}^{4} } \\ = 2( {10}^{4} )^{ \frac{1}{2} } \\ = 2 {10}^{4 \times \frac{1}{2} } \\ = 2 \times {10}^{2} \\ = 2 \times 100 \\ = 200 \\ \\ direct \: method : \\ 2 \sqrt{10000} = 2 \times 100 = 200[/tex]