Simplify the radical expression

How do you find the square root of 4y² over x? I tried finding the square root
of 4y² but then got stuck on the finding the square root of x.

√(4y²/x)

√4y²
-----   {split into square root of numerator over square root of denominator}
 √x

2y
---   {evaluated the square root of 4y²}
√x

2y √x
--------    {rationalized the denominator by multiplying top and bottom by the square root of x}
√x √x

2y√x
-------   {multiplied in the denominator}
  √x²

2y √x
--------   {evaluated the square root of x²}
   x

- For an expression to be completely simplified, you cannot be left with a square root sign in the denominator.  That is the purpose of rationalizing the denominator.

- Algebra House