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## Homework Statement

If a and b are positive real numbers, and [tex]\lambda^{2} = ab[/tex], then [tex]\lambda = \pm \sqrt{ab}[/tex].

## Homework Equations

None.

## The Attempt at a Solution

This is more of a conceptual question that has always escaped me. I do not understand how the square root of two positive numbers could possibly be negative. Since a and b are positive, how can there be any negatives in the square root of their product? Any guidance on this subject would be very much appreciated.