Question

How do I do this, I’m unsure how to go about it

Answer 1

Given:

`\sqrt{(6)/(x)}\cdot\sqrt{(x^2)/(24)}`

Simplify:

`=\sqrt{(6)/(x)}\cdot(√(x^2))/(√(24))=\sqrt{(6)/(x)}\cdot(x)/(2√(6))`

Apply the properties of fractions:

`=\frac{\sqrt{(6)/(x)}x}{2√(6)}`

Simplify:

`=((√(6))/(√(x))x)/(2√(6))=(√(6)√(x))/(2√(6))`

Eliminate common terms:

`=(√(x))/(2)`

Answer:

`(√(x))/(2)`