Answer: a. √21.
Step-by-step explanation:To determine which of the following options is an irrational number, we need to understand what an irrational number is. An irrational number is a number that cannot be expressed as a fraction or a ratio of two integers.
Now let's evaluate each option:
a. √21: This is an irrational number because the square root of 21 cannot be expressed as a simple fraction or ratio of two integers.
b. √64: This is a rational number because the square root of 64 is 8, which can be expressed as the ratio of two integers (8/1).
c. 15: This is a rational number because it can be expressed as the ratio of two integers (15/1).
d. 22: This is a rational number because it can be expressed as the ratio of two integers (22/1).