Sqrt{3+2sqrt(2)} to (-sqrt2) -1

Question

Thank you so much for answering!

Answer 1

Let x = sqrt(3+2sqrt(2))

Then x² = 3 + 2sqrt(2)

x² - 3 = 2sqrt(2)

Now square both sides

x⁴ - 6x² + 9 = 8

Solve .x⁴ - 6x² + 1 = 0

Clearly, from the 1st line, x >0 so it is NOT correct that x = -sqrt(2) - 1 which is clearly negative.