One of the most important and exam oriented question from quadratic equation chapter as it was already asked in previous year papers in which we have been asked to solve the equation 3x²-2√6x+2=0

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 4A, question no 26

3x²−2√6x+2=0

3x²−√6x−√6x+2=0

√3x(√3x−√2)−√2(√3x−√2)=0

(√3x−√2)(√3x−√2)=0

Either, √3x−√2=0, then x=√2/√3

or √3x−√2=0, then x=√2/√3

x=√2/√3 or √2/√3