SOLUTION: Show that every fraction whose square root is rational takes the form {{{ap^2/aq^2}}}. (Consider the square root of the fraction in lowest terms.)

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Show that every fraction whose square root is rational takes the form {{{ap^2/aq^2}}}. (Consider the square root of the fraction in lowest terms.)      Log On


   

Question 1132163: Show that every fraction whose square root is rational takes the form ap%5E2%2Faq%5E2.
(Consider the square root of the fraction in lowest terms.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Show that every fraction whose square root is rational takes the form ap%5E2%2Faq%5E2.
No one else want this, so here is what I think:
sqrt%28%28%28ap%5E2%29%2F%28aq%5E2%29%29%29
cancel a
sqrt%28%28p%5E2%2Fq%5E2%29%29
and you have
p%2Fq is the square root of ap%5E2%2Faq%5E2