SOLUTION: is the square root of 49 over 100 rational or irrational?

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Question 87842: is the square root of 49 over 100 rational or irrational?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2849%2F100%29

sqrt%2849%29%2Fsqrt%28100%29 Break up the square root using the identity sqrt%28x%2Fy%29=sqrt%28x%29%2Fsqrt%28y%29

7%2Fsqrt%28100%29 Take the square root of 49 to get 7

7%2F10 Take the square root of 100 to get 10

Since 7%2F10 is a rational number the expression sqrt%2849%2F100%29 is rational