SOLUTION: simplify: 4√400/ 4√5. Show your work(i need to know how to work this problem out.

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Question 1022235: simplify: 4√400/ 4√5. Show your work(i need to know how to work this problem out.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
If the problem is , then...

StepExpression
1.
2.
3.
4.
5.
6.
7.
8.
9.


So in the end, the expression simplifies to

In other words,

Final Answer:



Notes:

* In step 5, I used the property

* Once I get to step 6, everything after this step is simplifying the radical. To do this, we factor 80 into 16*5 (step 7). Notice how 16 is the largest perfect square factor of 80

* In step 8, I then used

* As you can see in step 9, the square root of 16 is 4 which is a whole number. This is why 80 was factored into 16*5

* Keep in mind this answer only applies if my assumption at the top is true. The assumption that the problem was . If the assumption at the top is not true, then maybe the next assumption is true.

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OR

If the problem is , then...


StepExpression
1.
2.
3.
4.
5.
6.



Final Answer:



Notes:

* For step 2, I used the property

* For step 5, I used the property

* Like before, to simplify the fourth root of 80, I factored 80 into 16*5 because 16 is a perfect fourth root number. Taking the fourth root of 16 yields 2 (seen on step 6)

* Keep in mind this answer only applies if my assumption at the top is true. The assumption that the problem was . If the second assumption isn't true, then go back to the first assumption (hopefully it's true. If not, then let me know)
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