How do you simplify #8/(3 + sqrt2)#?
1 Answer
Jun 17, 2018
Explanation:
#"multiply the numerator/denominator by the "color(blue)"conjugate"#
#"of the denominator"#
#"the conjugate of "3+sqrt2" is "3color(red)(-)sqrt2#
#=(8(3-sqrt2))/((3+sqrt2)(3-sqrt2))#
#=(24-8sqrt2)/(3^2-(sqrt2)^2)#
#=(24-8sqrt2)/7=1/7(24-8sqrt2)#
