Answer:
To simplify the expression X = -2√52/6, we can break it down into steps:
1. Simplify the square root: √52 = 2√13.
This is because 52 can be simplified as 4 * 13, and the square root of 4 is 2.
2. Substitute the simplified square root back into the original expression: X = -2 * (2√13) / 6.
3. Simplify the expression inside the parentheses: -2 * (2√13) = -4√13.
4. Substitute the simplified expression back into the original expression: X = -4√13 / 6.
5. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2 in this case: X = -2√13 / 3.
Therefore, the simplified form of the expression X = -2√52/6 is X = -2√13 / 3.
Explanation: