Final answer:
To rationalize the denominator √2/2, multiply both the numerator and denominator by the conjugate of the denominator, which is √2/2. Simplify the resulting expression to get the rationalized form, 1/2.
Step-by-step explanation:
To rationalize the denominator √2/2, we need to eliminate the radical in the denominator. We can do this by multiplying both the numerator and denominator by the conjugate of the denominator. The conjugate of √2/2 is √2/2 itself, since multiplying a number by its conjugate eliminates the radical.
So, we multiply both the numerator and denominator by √2/2:
√2/2 * √2/2 = (√2 * √2) / (2 * 2) = (2) / 4 = 1/2
Therefore, the rationalized form of √2/2 is 1/2.