Answer:
C. 5a√6a
Explanation:
Given the expression:
[tex]\sqrt[]{150a^3}[/tex]
First, write the term as a product of the number and algebraic expression:
[tex]=\sqrt[]{150\times a^3}[/tex]
Next, express the number 150 as a product of a perfect square and another number:
[tex]\begin{gathered} =\sqrt[]{25\times6\times a^2\times a} \\ =\sqrt[]{25\times a^2\times6\times a} \\ =\sqrt[]{25\times a^2}\times\sqrt[]{6\times a} \\ =5\times a\times\sqrt[]{6a} \\ =5a\sqrt[]{6a} \end{gathered}[/tex]
The correct choice is C,
