Finall Answer:
The expression "3 + √7" is an irrational number.
Step-by-step explanation:
An irrational number is any real number that cannot be expressed as a simple fraction. The expression "3 + √7" involves both a rational number (3) and an irrational number (√7). When combined, they form an irrational number because the addition of a rational and an irrational number results in an irrational number.
The square root of 7 (√7) is an irrational number because it cannot be expressed as a fraction and its decimal expansion continues infinitely without repeating. When you add this irrational number to a rational number like 3, the result remains irrational. Therefore, "3 + √7" is neither rational nor a combination of rational and irrational numbers; it's purely an irrational number.