Question

Factorise:
3x²-2√6x+2=0​

Answer 1

Answer:√2/√3

Step-by-step explanation:

We will factorize splitting the middle term method 3x2 – √6 −√6 +2=0

3x2 – √(2×3) −√(2×3) +2=0

3x2 – (√2)(√3)−(√2)(√3)+2=0

√3 (√3 −√2 )−√2 (√3 −√2 )=0

(√3 −√2) (√3 −√2)=0

Hence x =√(2/3) & x =√(2/3) are roots of the equation

The answer will be √2 / √3