Rational solutions

  • Thread starter luckis11
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  • #1
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Main Question or Discussion Point

How can I find the values for ψ that the following sqaure root equals to a rational number?:
√(87600-1.44ψ^2)

Also, I don't want ψ to be greater than 10. What's the procedure to find the answer?
 

Answers and Replies

  • #2
mathman
Science Advisor
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Does ψ have any restrictions except size? If not, try any value of ψ which is allowable (say ψ=5), compute the square root. Find a rational number near this square root and compute ψ for this rational number.
 
  • #3
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Let: √(87600-1.44ψ^2) = r, where r is a rational number
solve for ψ
set restrictions on values of ψ
 

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