Yes, 20/√40 is the same as 1/√2.
To see why, we can simplify 20/√40 as follows:
20/√40 = (20/2√10) = 10/√10
Now, we can simplify the denominator of 10/√10 by multiplying by √10/√10:
10/√10 = (10/√10) x (√10/√10) = 10√10/10 = √10
Therefore, 20/√40 simplifies to √10.
Similarly, we can simplify 1/√2 as:
1/√2 = (1/√2) x (√2/√2) = √2/2
Since √10 and √2/2 are not the same, we can conclude that 20/√40 is not the same as 1/√2.