To simplify the expression 4√/6 by rationalizing the denominator, follow these steps:
1. Start with the expression 4√/6.
2. Multiply both the numerator and the denominator by the square root of 6 to rationalize the denominator.
3. This will give you (4√/6) * (√6/√6).
4. Simplify the expression by multiplying the numerators and denominators separately.
5. You will get 4√6/6√6.
6. Further simplify by dividing both the numerator and denominator by 2 to reduce the fraction.
7. The final simplified form will be 2√6/3.
Therefore, the expression 4√/6, when rationalized, simplifies to 2√6/3.
