Question

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot? x (RootIndex 3 StartRoot 6 x EndRoot) 6 (RootIndex 3 StartRoot x squared EndRoot) 4 (RootIndex 3 StartRoot 6 x squared EndRoot) x (RootIndex 3 StartRoot 6 EndRoot)

Answer 1

c

Explanation:

i just did it

Answer 2

4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4
`\sqrt[3]{6x^2}`

Explanation:

• Added radical forms to the question for better visibility.

Which of the following is a like radical to RootIndex 3 StartRoot 6 x squared EndRoot =
`\sqrt[3]{6x^2}` ?

1. x (RootIndex 3 StartRoot 6 x EndRoot) = x
   `\sqrt[3]{6x}`
2. 6 (RootIndex 3 StartRoot x squared EndRoot) = 6
   `\sqrt[3]{x^2}`
3. 4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4
   `\sqrt[3]{6x^2}`
4. x (RootIndex 3 StartRoot 6 EndRoot) = x
   `\sqrt[3]{6}`

Solution

• Like radicals are radicals that have the same root number and expression under the root.

1) x
`\sqrt[3]{6x}` =
`\sqrt[3]{6x^4}`

• No, incorrect

2) 6
`\sqrt[3]{x^2}` =
`\sqrt[3]{6^3x}`

• No, incorrect

3) 4
`\sqrt[3]{6x^2}`

• Yes, correct

4) x
`\sqrt[3]{6}` =
`\sqrt[3]{6x^3}`

• No, incorrect

Compared with the given radical, we can see from the given choices only 3rd choice is like radical with
`\sqrt[3]{6x^2}`