SOLUTION: Determine whether {{{sqrt(49/100)}}} is rational or irrational The answer I got was irrational, is this correct? Thanks

Algebra ->  Square-cubic-other-roots -> SOLUTION: Determine whether {{{sqrt(49/100)}}} is rational or irrational The answer I got was irrational, is this correct? Thanks      Log On


   

Question 74441: Determine whether sqrt%2849%2F100%29 is rational or irrational
The answer I got was irrational, is this correct?
Thanks
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that a rational number is any number that can be expressed as a ratio of two integers.
sqrt%2849%2F100%29 can be written:
%28sqrt%2849%29%29%2Fsqrt%28100%29 Take the square root of the numerator and the denominator to get:
%2B%287%2F10%29 or -%287%2F10%29 The ratio of two integers...hence...rational!