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Math question


A square root divided by a square root. Find the domain. My question is this. The original problem places one square root symbol over the entire fraction: numerator and denominator. My understanding of the square root rules says that this is the same as the square root of the numerator over the square root of the denominator.

This would mean that the stuff under the square root on the numerator cannot be negative and the stuff under the square root on the denominator cannot be negative.

But, the examples I’m seeing in dds math class show that the numerator and denominator can BOTH be negative. So that you would do the division and get a positive number BEFORE taking the square root. Is this true?