Question

the diagonal of a square with sides of 5 units is √50 units. which statement best describes the diagonal?
a. it is between 7 and 8, but closer to 7 units.
b. it is halfway between 7 and 8 units.
c. it is between 6 and 7, but closer to 7 units.
d. it is between 8 and 9, but closer to 8 units.
e. it is between 7 and 8, but closer to 8 units.

Explanation:

Step1: Find the squares of 7 and 8

$7^2 = 49$，$8^2=64$

Step2: Compare $50$ with $49$ and $64$

Since $49<50<64$, so $\sqrt{49}<\sqrt{50}<\sqrt{64}$, that is $7 < \sqrt{50}<8$

Step3: Calculate the differences

$50 - 49=1$，$64 - 50 = 14$
Since $1<14$, $\sqrt{50}$ is closer to $7$

Answer:

A. It is between 7 and 8, but closer to 7 units.