document.write( "Question 1132163: Show that every fraction whose square root is rational takes the form $\"ap%5E2%2Faq%5E2\"$ .
\n" ); document.write( "(Consider the square root of the fraction in lowest terms.) \n" ); document.write( "

Algebra.Com's Answer #749169 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Show that every fraction whose square root is rational takes the form $\"ap%5E2%2Faq%5E2\"$ .
\n" ); document.write( "No one else want this, so here is what I think:
\n" ); document.write( " $\"sqrt%28%28%28ap%5E2%29%2F%28aq%5E2%29%29%29\"$
\n" ); document.write( "cancel a
\n" ); document.write( " $\"sqrt%28%28p%5E2%2Fq%5E2%29%29\"$
\n" ); document.write( "and you have
\n" ); document.write( " $\"p%2Fq\"$ is the square root of $\"ap%5E2%2Faq%5E2\"$
\n" ); document.write( " \n" ); document.write( "

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