Question

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

x2
x5
x20
x100

Answer 1

Given:

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

To Find:

What is monomial represents a side of the square?

Solution:

Let side of square  = S

We know that area of square is product of side of square, so:

Area of square = Side²

It is given that:

Area of square = $\mathbf{X^{10}}$

Side² = $\mathbf{X^{10}}$

S² = $\mathbf{X^{10}}$

$\mathbf{S= \sqrt{X^{10}}}$

$\mathbf{S= (X^{10})^{\dfrac{1}{2}}}$

$\mathbf{S= (X)^{\dfrac{10\times 1}{2}}}$

$\mathbf{S= X^{5}}$

Means a side of the square is $\mathbf{X^{5}}$ , Second option is correct.

Answer 2

Answer:

x^5

Step-by-step explanation:

its b on edgenuity 2020