SOLUTION: Not even sure what kind of problem it is. Sorry. If s is a positive integer, what is the least value of s for which √7s/4 is an integer?

Algebra ->  Radicals -> SOLUTION: Not even sure what kind of problem it is. Sorry. If s is a positive integer, what is the least value of s for which √7s/4 is an integer?       Log On


   

Question 716206: Not even sure what kind of problem it is. Sorry.
If s is a positive integer, what is the least value of s for which √7s/4 is an integer?
Found 2 solutions by jim_thompson5910, jsmallt9:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
7s is a perfect square when s = 7 since 7*s = 7*7 = 49

This is the smallest positive integer s that makes 7s a perfect square

So it's the smallest positive integer s that makes √7s/4 an integer

So again, the answer is s = 7

Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Please re-post your question and put the radicand in parentheses. ("Radicand" is the name for the expression inside a radical.) The way you posted the expression it is impossible to tell if it is:
sqrt%287%29s%2F4
or
sqrt%287s%29%2F4
or
sqrt%287s%2F4%29
Problems that are unambiguously posted are more likely to get quick responses. These three expressions have three very different solutions and tutors are unlikely either to guess which one is right or to solve all three problems.