Wednesday

May 4, 2016
Posted by **Anonymous** on Thursday, May 6, 2010 at 5:14pm.

Would it be (^2 square root of 4) or (^2 sqyare root of 2)?

- Algebra II -
**Damon**, Thursday, May 6, 2010 at 5:37pmYour phrasing does not make sense but I am guessing that you meant the fourth root of 64 or 64^(1/4)

64 = 8*8 = 4*2*4*2 = 4^3 = 2^6

2^6 = 2^4*2^2

so

(2^6)^(1/4) = 2^(4/4)*2^(2/4)

which is 2 sqrt 2

or alternatively

(2^6)^(1/4) =2^(6/4) = 2^(3/2)=sqrt(8) = 2 sqrt2