True or False? If y is the root of x, then y is larger.?

a) True


b) False


c) Depends on the values of x and yTrue or False? If y is the root of x, then y is larger.?
Claim: y = sqrt(x)





Is y larger?





Answer: Depends on the value of x and y.





Example: x = 1/4.





If x = 1/4, then


y = sqrt(x) = sqrt(1/4) = 1/2


BUT


y %26gt; x





Example #2: x = 4.


Then y = 2, but


y %26lt; x





To say (a) would mean the statement is always true.


To say (b) would mean the statement is always false.





But the statement is sometimes true and sometimes false.


Therefore, the answer is (c)True or False? If y is the root of x, then y is larger.?
Depends if x is greater than or less than 1.
it depends on the value of x and y