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The square root of h is greater than 10/3 and less than 42/5. How many integer values of h satisfy this condition?

 Jul 31, 2022
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The square root of h is greater than 10/3 and less than 42/5.     

How many integer values of h satisfy this condition?      

 

       10/3   <  sqrt(h)  <  42/5     

        3.33  <  sqrt(h)  <  8.40     

 

       (3.33)2  <  h  <  (8.40)2     

        11.11   <  h  <  70.56     

 

       between 12 and 70 inclusive there are 59 integers     

.     

 Aug 29, 2025

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