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

Answer:

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

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 = $\sqrt[3]{6x^2}$ ?

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 $\sqrt[3]{6x^2}$