Question

The area of a square can be represented by the expression $x^{10}$ .

What represents a side of the square?

Answer 1

Finding the expression for side of a square:

Given, area of the square = $x^{10}$

We know that the area of a square is given by,

$\mathrm{Area}={\left(\mathrm{side}\right)}^2$

Substituting the value of the area in the above formula we get,

$$\begin{gathered} x^{10}=sid{e}^2 \\ \Rightarrow side=\sqrt{x^{10}} \\ \Rightarrow side=x^{\frac{10}{2}} \\ \Rightarrow side=x^5 \end{gathered}$$

Therefore, the expression for a side of the square is $x^5$.