Question

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

Answer 1

$sqrt[3]{ 2^{6}* 5^{9} } = sqrt[3]{ (2^{3})^{2}* (5^{3})^{3} } = 2^{2}* 5^{3}=4*125=500$

$sqrt[3]{18}* sqrt[3]{ frac{3}{2} }= sqrt[3]{18* frac{3}{2} } = sqrt[3]{9*3} = sqrt[3]{ 3^{3} }=3$

$frac{ sqrt{200}- sqrt{8} }{ sqrt{2} } = sqrt{ frac{200}{2} } - sqrt{ frac{8}{2} } = sqrt{100}- sqrt{4} = 10 - 2 =8$