Review question

# Which of these numbers does not have a square root of the form $x + y\sqrt{2}$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6256

## Question

Which of the following numbers does not have a square root in the form $x + y\sqrt{2}$, where $x$ and $y$ are positive integers?

1. $17+12\sqrt{2}$
2. $22+12\sqrt{2}$
3. $38+12\sqrt{2}$
4. $54+12\sqrt{2}$
5. $73+12\sqrt{2}$