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?

- \(17+12\sqrt{2}\)
- \(22+12\sqrt{2}\)
- \(38+12\sqrt{2}\)
- \(54+12\sqrt{2}\)
- \(73+12\sqrt{2}\)

Review question
# Which of these numbers does not have a square root of the form $x + y\sqrt{2}$?

Ref: R6256

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?

- \(17+12\sqrt{2}\)
- \(22+12\sqrt{2}\)
- \(38+12\sqrt{2}\)
- \(54+12\sqrt{2}\)
- \(73+12\sqrt{2}\)