Question

The length of a rectangle is 2 units and its width is square root of 2 unit. Is the area of the rectangle rational or irrational?

Answer 1

you will need to multiply length by width...

\[A = 2 \times \sqrt{2}\]

do you know the difference between rational and irrational...

Answer 2

Irrational has decimals, e.g. 2.3453
Rational is a whole number, e.g. 2

Answer 3

so what would

\[2 \sqrt{2} \]

be... decimal or whole

Answer 4

So the answer is irrational because \[2\sqrt{2} = 2.828487...\]