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Solve for x: /6 − / 3 = 1

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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.

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