Answer:
A
Explanation:
Given
\sqrt[]{50a^6b^7}
50a
6
b
7
Therefore, solving:
\sqrt[]{50}\sqrt[]{a^6}\sqrt[]{b^7}
50
a
6
b
7
Simplify
\begin{gathered}\begin{gathered} \sqrt[]{50}=5\sqrt[]{2} \\ \sqrt[]{a^6}=a^3 \\ \sqrt[]{b^7}=b^3\sqrt[]{b} \end{gathered}\end{gathered}
50
=5
2
a
6
=a
3
b
7
=b
3
b
Next,
5\sqrt[]{2}\cdot a^3\cdot b^3\sqrt[]{b}5
2
⋅a
3
⋅b
3
b
Reordering the expression
5a^3b^3\sqrt[]{2b}5a
3
b
3
2b