SOLUTION: simplify 5sqrt -1/32. Sorry not sure how to write this using the sqrt sign. The 5 is on top of the v shape of the sqrt sign. Hope this makes since. Thanks

Algebra ->  Radicals -> SOLUTION: simplify 5sqrt -1/32. Sorry not sure how to write this using the sqrt sign. The 5 is on top of the v shape of the sqrt sign. Hope this makes since. Thanks      Log On


   

Question 476324: simplify 5sqrt -1/32. Sorry not sure how to write this using the sqrt sign. The 5 is on top of the v shape of the sqrt sign. Hope this makes since. Thanks
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
i believe you are looking for the 5th root of (-1/32)
that would be written as:
root(5,(-1/32)) in algebra.com language.
put 3 { brackets in front of it and 3 } brackets behind it and you get:
ROOT%285%2C%28-1%2F32%29%29
since 32 is equal to 2^5, this would be written as:
root%285%2C%28-1%2F2%5E5%29%29
since the root of (a/b) is equal to (the root of a) / (the root of b), then this expression can be re-written as:
root%285%2C%28-1%29%29%2Froot%285%2C%282%5E5%29%29
since the fifth root of (-1) is equal to -1 because (-1)^5 = -1, and:
since the fifth root of 32 is equal to 2 because (2)^5 = 32, then:
your expression is equivalent to:
(-1/2).
you may confirm this is true by using your calculator to find the fifth root of (-1/32).
the calculator should tell you that it's equal to -.5.