Expert: Richard J. Raridon - 6/13/2006

Question
im supposed to express these in simplest radical form.any ideia?

sqrt=square root

1)sqrt  25a^2b^2
2)sqrt  50x^2
3)sqrt  3/5
4)(6 * sqrt 7)*(3 * sqrt 5)
5)3*sqrt 13/3
6)sqrt m * sqrt m^2
7)(3* sqrt 2)+(5* sqrt 2)
8)(3*sqrt 8)+(2*sqrt 16)
9)sqrt m^2/n^3
10)sqrt 2 + sqrt 2/49
11)3*sqrt 2 + sqrt 50
12)(sqrt 2 - 3)(sqrt2 + 3)
13)(sqrt3-sqrt5)(sqrt3-sqrt5)

and write the following in exponential form

14)sqrt x
15)tiny four sqrt 2 (dont know what the tiny four is,it comes before the square root)

16)tiny 3 sqrt x^2y^2

thanks in advance.i heard you guys were great  

Answer
you can write sqrt x as x^1/2
1) 5ab
2) 5x(2^1/2)
3) (3/5)^1/2 cannot simplify
4) 18(35^1/2)
5) 3(13/3)^1/2 cannot simplify
6) m^3/2
7) 30
8) 6(2^1/2) + 8
9) m/n^3/2
10) (8/7)(2^1/2)
11) 8(2^1/2)
12) -7
13) 8 -2(15^1/2)
14) x^1/2
15) that means the fourth root, not square root so it's x^1/4
16) (x^2/y^2)^1/3 or (x^2/3)/(y^2/3)