Rationalize the denominator and simplify. Assume that all variables represent positive real numbers

Question

√5x/2y

Answer 1

Rationalizing the denominator means you get rid of the radical in the denominator. 

 

I assume you mean  √(5x/2y).

 

According to the rules of radicals, we can rewrite this as

 

√(5x) / √(2y)

 

 

Next we multiply the expression by √(2y) / √(2y).  Notice this gives you 1 and when you multiply this by the original expression, it does not change the original problem.

 

We end up with

 

[√(5x) * √(2y)] / [√(2y) * √(2y)] =

 

[√(10xy)] / 2y