To simplify the expression 2√(18x), you can follow these steps:
1. Start by breaking down 18 into its factors. You can see that 18 can be expressed as 9 * 2.
2. Rewrite the expression with the square root of each factor: 2√(9 * 2).
3. Square root of 9 is 3, so the expression becomes: 2 * 3√2.
4. Now, you can simplify further by multiplying 2 and 3: 6√2.
At this point, you have simplified the expression to 6√2. If you need to continue and get a decimal approximation, you can multiply 6 by the square root of 2. The square root of 2 is approximately 1.414, so the final result is 6 * 1.414 = 8.485.
However, keep in mind that 8.485 is not an exact answer because the square root of 2 is an irrational number and cannot be expressed as a simple fraction. Therefore, if you need an exact answer, it is best to leave it as 6√2.