Rationalize

Algebra Level 3

If 6 + 2 3 33 19 3 = a + b 3 \sqrt{\dfrac {6+2\sqrt 3}{33-19\sqrt 3}}= a+b\sqrt 3 , for integers a a and b b , what is a + b a+b ?

10 8 12 6

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1 solution

Vansh Gupta
May 8, 2017

hint - try rationalizing the denominator

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