How do you simplify #sqrt (16) / (sqrt (4) + sqrt (2))#?
Try to rationalize the denominator. Multiply numerator and denominatr by
Multiply through by
Let's start with the original:
Let's first take the square roots of the perfect squares:
In order to simplify, we need the square root out from the denominator. The way to do this is to ensure that when we do FOIL (the process of multiplying 2 quantities within brackets), we don't end up with more square roots. To do that, we'll multiply by