Question

Simplify the expression
`\sqrt{ (25y ^(2?) )/(6x) }`show your work

Answer 1

we have

`\sqrt[]{(25y^2)/(6x)}`

Remember that

25=5^2

substitute

`\begin{gathered} \sqrt[]{(5^2y^2)/(6x)} \\ \\ 5y\sqrt[]{(1)/(6x)} \\ \\ \frac{5y}{\sqrt[]{6x}} \\ \\ \frac{5y\sqrt[]{6x}}{6x} \end{gathered}`