Question

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

Answer 1

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

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\\√((length)^2)=\sqrt{x^(10)}\\(length)^{(2)/(3) }=x^{(10)/(2)} \\length=x^5`

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