Simplify

Problem

√(,2)/2/(−√(,2)/2)

Solution

1. Identify the structure of the expression as a fraction where the numerator and the denominator are identical in magnitude but opposite in sign.

2. Apply the rule for dividing a fraction by itself, which states that a/a=1 for any non-zero a

3. Account for the negative sign in the denominator, noting that a/(−a)=−1

4. Simplify the expression by canceling the common term √(,2)/2 from both the numerator and the denominator.

Final Answer

√(,2)/2/(−√(,2)/2)=−1

Want more problems? Check here!