Expert: Richard J. Raridon - 12/11/2008

Question
i need help on my math... and could you tell me how to solve them to?

1. (2)^1/3

simplify the expression using the properties of radicals

2. squareroot 3 squareroot 5

3. squareroot 6 * square root 30
    _________________________
        squareroot 10



simplify expression. assume all variables are positive


4. x^1/4                    5.(x^2/3)4


6. (x^3/5)1/6               7. x^5/3 _/_ x^2/3


perform indicated operation. assume all variables are positive.

8. 2 squareroot 3  + 4 squareroot 3

9. 6 ^5-root x+ 2 ^3square-root x

write expression in simplest form. assume all variables are positive.

10. squareroot 49x^3            11.4 squareroot x^3y^5z^8




thankyou!! i need help to understand how to solve them so i can pass my test.  Where it says says squareroot its just saying to square root that number because i dont know what botton on the keyboard was to square root. thanks!  

Answer
1. (2)^1/3 means the cube root of 2, (2)^1/2 means the square root of 2.  (2)^1/3 = 1/2^3 = 1/8
2. (3)^1/2(5)^1/2 = (15)^1/2
3. (6)^1/2(30)^1/2/(10)^1/2 = (18)^1/2 = 3(2)^1/2
4. x^1/4 = 1/x^4
5. 4x^2/3
6. (x^3/5)/6
7. (x^5/3)/(x^2/3) = x
8. 6(3)^1/2
9. I don't know what you mean by 6 ^5-root x
10. 7x(x^1/2)
11. 4xy^2z^4(xy)^1/2