Question

What is the approximation of 3√200

Answer 1

Given the expression:

`\text{ }\sqrt[3]{200}`

Let's simplify the expression and convert its decimal form to get its approximation.

We get,

`\text{ }\sqrt[3]{200}\text{ = }\sqrt[3]{8\text{ x 25}}`
`\text{ =2 }\sqrt[3]{25}`

In decimal form:

`\text{ 2 }\sqrt[3]{25}\text{ = 2 x 2.92401773821 = 5.84803547643 }\approx\text{ 5.8}`

Therefore, the approximate equivalent of 3√200 is 5.8.