Question

Factorise:3x^2-2root6x+2=0

Answer 1

3x^2-2√6x+2=0
3x^2-(√6+√6)x+2=0
3x^2-√6x-√6x+2=0
√3x(√3x-√2)-√2(√3x-√2)=0
(√3x-√2) (√3x-√2)=0

if √3x-√2=0
x=√2/√3 Ans

and if √3x-√2=0
x=√2/√3

therefore both values of x is √2/√3..Ans

i hope u understand..
plz mark as brainliest..☺☺☺

Answer 2

Answer:

x= √2 / √3

Step-by-step explanation:

3x²-2√6 x + 2 = 0

3x²-√6 x - √6x + 2 = 0

3x{x-(√2/√3)} - √6{x-(√2/√3)} = 0

(3x-√6){x-(√2/√3)} = 0

x = √6/3 =√2/√3

x- √2/√3=0 so x = √2/√3