Question

a square has an area of 47 square units. what is the side length of this square? now, lets think about the value of $sqrt{47}$. is $sqrt{47}$ equal to a whole number? in other words, is there a whole number you can square to get 47 square units? $sqrt{47}$ units area = 47 units² yes, $sqrt{47}$ is equal to a whole number. no, $sqrt{47}$ is not equal to a whole number.

Explanation:

Step1: Recall area formula for square

The area formula of a square is $A = s^{2}$, where $A$ is the area and $s$ is the side - length. Given $A = 47$, we have $s=\sqrt{A}=\sqrt{47}$.

Step2: Check if $\sqrt{47}$ is a whole number

We know that $6^{2}=36$ and $7^{2}=49$. Since $36<47<49$, $\sqrt{47}$ is between 6 and 7. So $\sqrt{47}$ is not a whole number.

Answer:

No, $\sqrt{47}$ is not equal to a whole number.