Answer:
4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex]
Step-by-step 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 = [tex]\sqrt[3]{6x^2}[/tex] ?
- x (RootIndex 3 StartRoot 6 x EndRoot) = x[tex]\sqrt[3]{6x}[/tex]
- 6 (RootIndex 3 StartRoot x squared EndRoot) = 6[tex]\sqrt[3]{x^2}[/tex]
- 4 (RootIndex 3 StartRoot 6 x squared EndRoot) = 4[tex]\sqrt[3]{6x^2}[/tex]
- x (RootIndex 3 StartRoot 6 EndRoot) = x[tex]\sqrt[3]{6}[/tex]
Solution
- Like radicals are radicals that have the same root number and expression under the root.
1) x[tex]\sqrt[3]{6x}[/tex] = [tex]\sqrt[3]{6x^4}[/tex]
2) 6[tex]\sqrt[3]{x^2}[/tex] = [tex]\sqrt[3]{6^3x}[/tex]
3) 4[tex]\sqrt[3]{6x^2}[/tex]
4) x[tex]\sqrt[3]{6}[/tex] = [tex]\sqrt[3]{6x^3}[/tex]
Compared with the given radical, we can see from the given choices only 3rd choice is like radical with [tex]\sqrt[3]{6x^2}[/tex]
