(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

None.

3. 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.

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# Homework Help: Square roots of positive numbers

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