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The area of a square can be represented by the expression x10. Which monomial represents a side of the square? x2 x5 x20 x100

Respuesta :

The side of the square is [tex]x^5[/tex].

Area of square

area of a square = (side)² = a²,

Exponent properties

  • [tex](a^m)^n = a^{m+n}[/tex]
  • [tex](\sqrt a)^n = a^{(-2+n)}[/tex]

Given to us

area of a square = [tex]x^{10}[/tex]

Side of the Square

Equating it with the general formula of square

[tex]\rm {Area\ of\ square}={Area\ of\ square}[/tex]

[tex]x^{10} = a^2[/tex]

Taking square root on both sides,

[tex]\sqrt{x^{10}} = \sqrt{a^2}\\\\a=\sqrt{x^{10}}[/tex]

[tex]a = x^5[/tex]

Hence, the side of the square is [tex]x^5[/tex].

Learn more about the Area of square:

https://brainly.com/question/1658516

adioabiola

The monomial which represents a side of the square is; x⁵

Area of a square

The area of a square is a 2-dimensional quantity and can be evaluated by the formula;

  • Area = l².

Hence, the length of the sides of the square is;

  • l = √A.

According to the question, the given area is x¹⁰.

Therefore, the length of each side is;

  • l = √x¹⁰ = (x¹⁰)^1/2

  • l = x⁵.

Read more on area of a square;

https://brainly.com/question/16758129

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