Breaking Down Square Roots of Large Numbers
Break the number into its factors and multiply the square roots of those.
However solutions never contain square roots in a denominator. Therefore the denominator has to be rationalized. Since , this process is as simple as multiplying the result with a fraction that contains its denominator on both sides:
This works in general because
Also fractions should be simplified where possible e.g.
Square Root Term in Polynomial Denominator
Given a fraction such as , forming a difference of squares gets rid of the root in the denominator: