*asap* (20 points)

why are radicals simplified before adding and subtracting? explain your reasoning by adding sqrt8 and sqrt32. ( show work algebraically) compare the process to multiplying and dividing.

They are simplified in hopes of finding like terms so we can add or subract them.

Step-by-step explanation:

√8 and √32 are not like terms, so we can't simply add or subtract them.  We first want to reduce them down as much as possible...

√8 + √32  

   √8 = (√4)(√2) = 2√2

    √32 = (√16)(√2) = 4√2

So √8 + √32 is the same as 2√2 + 4√2  

These are now like terms since they share a common number under the radical sign.  

2√2 + 4√2 = 6√2

:

step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.