Compare and contrast the difference between simplify a fraction and simplify a radical. what is the ultimate goal for each?

Compare:
- The goal of reducing a radical and a fraction is to literally simplify the numbers to make them easier to work with

Contrast:
- The action of simplifying fractions is dividing the numerator and denominator by a common factor. 
- The action of simplifying radicals is making sure the radicand has no square factors. You separate the radicand into two parts, one of which can be square rooted into a whole number.
Example:

I'll do the first one for you. it isn't very hard at all.on number one, you have (50 × 3), which equals 150, and (3 × 3), which equals 9. after you establish that, you add 150 and 9 together. so, (150 + 9) equals 159.this means that 53 × 3 = 159.