Math help please - 10 problems..

[Kater]

I see only 8 problems here - no number 3 or 4. I didn't quite know how to best handle the fraction and square root notation so I wrote out each answer in both symbols and words. The "carrot" symbol means that you raise the previous number or unknown to whatever power comes after the "carrot." It's like on a graphing calculator if you were to type "2" then "^" then "2", you would get 2 squared is 4.

Answers:

1. 1/(4a^3)
"one over four times a to the third power"

2. b^6/a^5
"b to the sixth power over a to the fifth power"

5. 4 a^4 b^4 root(a)
"4 times a to the fourth power times b to the fourth power times the square root of a"

6. 2/(2root(3)) = 1/(root(3))
"one over the square root of three"

7. (3root(2))^2 + 2^2 + 2 x 2 x 3root(2) =
18 + 4 + 12root(2) =
22 + 12(root)2
"twenty-two plus twelve times the square root of two"

8. 10/(root(10)-3)
"ten over the square root of 10 minus three"

9. 50root(2) - 18root(2) = 32root(2)
"thirty-two times the square root of two"

10. root(3)/2 - root(3)/8 =
4root(3) - root(3)/8 =
3root(3)/8
"three times the square root of three over eight"

Next time you should probably make an appointment with your professor or TA to go over any questions you have before the weekend before a test.