Question

Which of the following is equal to square root (50a^6b^7)a) 5a^3b^3 sqrt(2b)b) 5a^2b^3 sqrt (2b)c) 10a^3b^3d) 5a^3b^3

Answer 1

Given

`\sqrt[]{50a^6b^7}`

Therefore, solving:

`\sqrt[]{50}\sqrt[]{a^6}\sqrt[]{b^7}`

Simplify

`\begin{gathered} \sqrt[]{50}=5\sqrt[]{2} \\ \sqrt[]{a^6}=a^3 \\ \sqrt[]{b^7}=b^3\sqrt[]{b} \end{gathered}`

Next,

`5\sqrt[]{2}\cdot a^3\cdot b^3\sqrt[]{b}`

Reordering the expression

`5a^3b^3\sqrt[]{2b}`

Answer: a)