Final answer:
To solve the equation, we isolate the variable x by squaring both sides and then solve for x by dividing both sides
Step-by-step explanation:
To solve the equation √2 3x = 2, we need to isolate the variable x. To do this, we need to get rid of the square root. We can do this by squaring both sides of the equation.
(√2 3x)^2 = 2^2
2 imes (3x)^2 = 4
2 imes 9x^2 = 4
18x^2 = 4
Next, we divide both sides by 18 to solve for x:
x^2 = 4/18
x^2 = 2/9
Therefore, the solution to the equation is x = ±√(2/9)
Learn more about Solving equations involving square roots