Question

The length of a rectangle is 7 units and its width is square root of 7 unit. Is the area of the rectangle rational or irrational? Justify your answer

Answer 1

Irrational.
\[A=lw=7(\sqrt{7})\]
Since \(\sqrt{7}\) is irrational, it follows that \(7\sqrt{7}\) is irrational, thus the area is irrational.

Answer 2

@Jnlucero thank you !

Answer 3

Your welcome! :)