MathDB

Your math teacher asks you to rationalize the denominator of the expression

\frac{a}{b + \sqrt{c}}

, where

a

b

, and

c

are integers and

c

is not divisible by the square of any prime. You find that

\frac{a}{b + \sqrt{c}}

is equal to

\frac{30 - 5\sqrt{14}}{11}

. Compute the triple

(a,b,c)

Problem Statement