Question

precalculus help! i'm having some trouble with my summer assignment. help would be very appreciated :)))

Answer 1

Problem 3:

We are given the following complex number and I'm assuming we want to simplify it:

`(5+i)/(6+i)`

Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):

`=((5*6+1)+(6-5)i)/(6^2+1^2)`

`=(31+i)/(37)`

Simplifying gives us:

`=(31)/(37)+(1)/(37)i`

Problem 6:

You seem to have done this problem correctly

`\sqrt[8]{8y^(16)}`

Expanding gives us:

`=\sqrt[8]{y^(16)}*\sqrt[8]{8}`

`=y^2\sqrt[8]{8}`

This can't be simplified further as the 8th root of 8 gives us an irrational number

Let me know if you need any clarifications or extra help, thanks!

Answer 2

6.

`y^2\sqrt[8]{8}`

Explanation:

`\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}`

Since there are eight y's in two groups we can take them out which turns into

`y^2\sqrt[8]{8}`

:)

3.