Question

The value of $\sqrt{73}$ is between two positive, consecutive integers. What is the product of these two integers?

Answer 1

72

Explanation:

Since $73$ is between $64=8^{2}$ and $81=9^{2}$, we know that $\sqrt{73}$ is between $8$ and $9.$ Our answer is $8\cdot9=\boxed{72}.$

Answer 2

Explanation:

What are the two closest square numbers to 73?

64 and 81

`√(64) \leq √(73) \leq √(81)\\8\leq √(73) \leq 9\\8*9 = 72`