To find the value of x in the equation √3x = √2x, we need to isolate x on one side of the equation. Let's break down the problem step by step:

Step 1: Square both sides of the equation.
(√3x)^2 = (√2x)^2

Step 2: Simplify the equation.
3x = 2x

Step 3: Subtract 2x from both sides of the equation to isolate x.
3x - 2x = 0

Step 4: Combine like terms.
x = 0

Explanation:
The value of x in the given equation is 0.

Let's dive into each step in detail:

Step 1: Square both sides of the equation.
When we square the square root (√) of a number, the square root and the square cancel each other out, leaving us with just the number itself. Therefore, (√3x)^2 becomes 3x, and (√2x)^2 becomes 2x.

Step 2: Simplify the equation.
After squaring both sides, we have 3x = 2x.

Step 3: Subtract 2x from both sides of the equation to isolate x.
To isolate x, we need to get rid of the 2x term on the right side of the equation. By subtracting 2x from both sides, we have 3x - 2x = 0.

Step 4: Combine like terms.
Combining like terms, we get x = 0. This means that x equals zero.

In conclusion, the value of x in the equation √3x = √2x is 0.

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