Question

Hello! I am a little stuck on this one question. Is it possible to get some help?

Answer 1

Option D

`\sqrt[3]{40x^(23)}`

Step-by-step explanation

Given:

`\frac{\sqrt[3]{200x^(24)}}{\sqrt[3]{5x}}`

Applying the law of surds and indices

`(√(M))/(√(N))\text{ = }\sqrt{(M)/(N)}`

i.e:

`\begin{gathered} \frac{\sqrt[3]{200x^(24)}}{\sqrt[3]{5x}} \\ \text{ = }\sqrt[3]{(200x^(24))/(5x)} \\ \text{ = }\sqrt[3]{40x^(23)} \end{gathered}`

Hence, the correct answer is option D.