Question

find the value 3√-8/125​

Answer 1

On prime factorisation of the numbers individually, we get,

8= 2×2×2= 2³

125=5×5×5= 5³

Therefore,

$\sqrt[3]{8 \times 125 \: } = \sqrt[3]{ {2}^{3 } \times {5}^{3} } \: \\ = 2 \times 5 = 10$

Thus, 10 is the solution.