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  • 08-05-2021
  • Mathematics
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A square rug has an area 44ft. Power of 2Write the side length as a square root. Then decide if the side length is a rational number.

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  • 09-05-2021

Answer: [tex]2\sqrt{11}\ ft[/tex], Irrational number

Step-by-step explanation:

Given

The square rug has an area of [tex]44\ ft^2[/tex]

The area of the square rug is [tex]\left( \text{Side length}\right)^2[/tex]

Suppose the side length is [tex]x[/tex]

[tex]\therefore x^2=44\\\Rightarrow x=\sqrt{44}\\\Rightarrow x=2\sqrt{11}\ ft[/tex]

As [tex]\sqrt{11}[/tex] is irrational, therefore, [tex]2\sqrt{11}[/tex] is not a rational number.

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