Answer:
Explanation:
To solve for x in the equation /6 − / 3 = 1, we can start by isolating one of the square roots on one side of the equation:
/6 = /3 + 1
Next, we can square both sides of the equation:
(/6)^2 = (/3 + 1)^2
Simplifying the right-hand side using the distributive property, we get:
(/6)^2 = (/3)^2 + 2(/3) + 1
Simplifying the expressions inside the square roots, we get:
x/36 = x/9 + 2x/3 + 1
Multiplying both sides by 36 to eliminate the denominators, we get:
x = 4x + 36
Subtracting 4x from both sides, we get:
x - 4x = 36
Simplifying, we get:
-3x = 36
Dividing both sides by -3, we get:
x = -12
Therefore, the solution to the equation /6 − / 3 = 1 is x = -12.