SOLUTION: Simpligy. {{{sqrt(20)/5}}}- {{{1/sqrt(5)}}} My answer was {{{(sqrt(20)-sqrt(5))/5}}}. Is this correct? Thanks for your time.

Algebra ->  Square-cubic-other-roots -> SOLUTION: Simpligy. {{{sqrt(20)/5}}}- {{{1/sqrt(5)}}} My answer was {{{(sqrt(20)-sqrt(5))/5}}}. Is this correct? Thanks for your time.      Log On


   

Question 74514: Simpligy. sqrt%2820%29%2F5- 1%2Fsqrt%285%29
My answer was %28sqrt%2820%29-sqrt%285%29%29%2F5. Is this correct?
Thanks for your time.
Found 2 solutions by Cintchr, Earlsdon:
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2820%29%2F5- 1%2Fsqrt%285%29
%28sqrt%2820%29+-+1sqrt%285%29%29%2F5
You're not finished ....
root out the 20
+%282sqrt%285%29+-+1sqrt%285%29%29+%2F+5+
+sqrt%285%29%2F5+

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You are on the right track!
Simplify:
sqrt%2820%29%2F5+-+1%2Fsqrt%285%29+=+%28sqrt%2820%29-sqrt%285%29%29%2F5 This can be further simplified as:
%28sqrt%284%2A5%29-sqrt%285%29%29%2F5+=+%282sqrt%285%29-sqrt%285%29%29%2F5=%28sqrt%285%29%29%2F5