Question

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.

Answer 1

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
`x`

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

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