How do you simplify # 7 div(5 - sqrt11)#?

1 Answer
Oct 21, 2015

Answer:

#7 div (5-sqrt(11)) = (5+sqrt(11))/2#

Explanation:

#7div(5-sqrt(11)) = 7/(5-sqrt(11))#

rationalizing the denominator:
#color(white)("XXX")= 7/(5-sqrt(11)) * (5+sqrt(11))/(5+sqrt(11))#

#color(white)("XXX")=(7(5+sqrt(11)))/(25-11)#

#color(white)("XXX")=(7(5+sqrt(11)))/14#

#color(white)("XXX")=(5+sqrt(11))/2#