Question

The area of a square can be represented by the expression x^10. Which monorail represents a side of a square

Answer 1

Answer:

The length of the side of a square is $\mathbf{x^5}$

Step-by-step explanation:

Area of square = $x^{10}$

We need to find length of the side

The formula used will be:

$Area\:of\:square=(length)^2$

Putting value of area of square, we can find length

$Area\:of\:square=(length)^2\\x^{10}=(length)^2\\Switching\:sides\\(length)^2=x^{10}\\Taking\:square\:root\:on\:both\:sides\\\sqrt{(length)^2}=\sqrt{x^{10}}\\(length)^{\frac{2}{3} }=x^{\frac{10}{2}} \\length=x^5$

So, length of the side of a square is $\mathbf{x^5}$