Answer:
a) 4.5 inches
b) 2√5 is irrational
Step-by-step explanation:
It was given that the edge length of a cube-shaped box is 2√5 inches long.
To estimate the length of the edge to the nearest tenth of an inch, we change √5 to decimals to obtain:
[tex]2 \sqrt{5} \approx2(2.26067977.....)[/tex]
[tex]2 \sqrt{5} \approx4.47213955.....[/tex]
[tex]2 \sqrt{5} \approx4.5[/tex]
When we round to the nearest tenth, we obtain 4.5
We cannot find its exact value because √5 is an irrational number.
The product of a rational and an irrational number is irrational.
