Final answer:
To determine if √z+y is rational or irrational, we substitute the given values: z = 29 and y = 18. Since the square root of 29 is irrational and adding an irrational number to a rational number always results in an irrational number, √29 + 18 is an irrational number.
Step-by-step explanation:
To determine if √z+y is rational or irrational, we first need to substitute the given values: z = 29 and y = 18. So, we have √29 + 18. Now, we can calculate the value of this expression. However, since the square root of 29 is an irrational number and adding an irrational number to a rational number always results in an irrational number, √29 + 18 is an irrational number.
In general, if you add an irrational number and a rational number, the result will be an irrational number.