Final answer:
The value of 50 divided by the square root of 2, after rationalizing the denominator, comes out to be 25 square root 2.
Step-by-step explanation:
The question is asking us to find the value of 50 divided by the square root of 2. This is a common simplification exercise in mathematics, specifically in the field of algebra. The solution involves rationalizing the denominator.
To rationalize the denominator, you multiply both the numerator and the denominator by the same square root, in this case, the square root of 2. So, the calculation becomes:
- numerator: 50 * √2 = 50√2
- denominator: √2 * √2 = 2
Therefore, the result is: 50√2 / 2 = 25√2.
Learn more about Simplifying Radicals