"3 это Корень кубический" 3√2^6×5^9; 3√18×3√3/2; √200-√8÷√2;

[latex] \sqrt[3]{ 2^{6}* 5^{9} } = \sqrt[3]{ (2^{3})^{2}* (5^{3})^{3} } = 2^{2}* 5^{3}=4*125=500 [/latex] [latex] \sqrt[3]{18}* \sqrt[3]{ \frac{3}{2} }= \sqrt[3]{18* \frac{3}{2} } = \sqrt[3]{9*3} = \sqrt[3]{ 3^{3} }=3 [/latex] [latex] \frac{ \sqrt{200}- \sqrt{8} }{ \sqrt{2} } = \sqrt{ \frac{200}{2} } - \sqrt{ \frac{8}{2} } = \sqrt{100}- \sqrt{4} = 10 - 2 =8 [/latex]