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

1 Answer
Alan P.
Oct 21, 2015

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

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