Is "3+√5/3−√5" a rational number?
skeeter Elite Member Joined Dec 15, 2005 Messages 3,215 Oct 14, 2020 #2 try rationalizing the denominator if you meant [MATH]\dfrac{3+\sqrt{5}}{3-\sqrt{5}}[/MATH] if so, use parentheses to make your expression clear
try rationalizing the denominator if you meant [MATH]\dfrac{3+\sqrt{5}}{3-\sqrt{5}}[/MATH] if so, use parentheses to make your expression clear
Steven G Elite Member Joined Dec 30, 2014 Messages 14,383 Oct 14, 2020 #3 3+√5/3−√5 = 3 - 2√5/3 = (9 - 2√5)/3. Clearly the denominator is an integer. Can you write the numerator as an integer??
3+√5/3−√5 = 3 - 2√5/3 = (9 - 2√5)/3. Clearly the denominator is an integer. Can you write the numerator as an integer??
