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.

Question

asked Jun 16, 2022 158k views

1 Answer

Juana · Answer 1 · 2022-06-22T09:09:56+0000

Answer:
$2√(11)\ ft$ , Irrational number

Explanation:

Given

The square rug has an area of
$44\ ft^2$

The area of the square rug is
$\left( \text{Side length}\right)^2$

Suppose the side length is

$\therefore x^2=44\\\Rightarrow x=√(44)\\\Rightarrow x=2√(11)\ ft$

As
√(11) is irrational, therefore,
2√(11) is not a rational number.