Simplify -( square root of 2)/2

Problem

−√(,2)/2

Solution

1. Identify the expression as a fraction involving a square root in the numerator and a rational number in the denominator.

2. Recognize that the expression is already in its simplest radical form, as the denominator is rationalized and the radicand has no square factors.

3. Rewrite the expression if an alternative form is desired, such as by dividing the numerator and denominator by √(,2)

4. Simplify the alternative form by noting that 2=√(,2)⋅√(,2)

5. Cancel the common factor of √(,2) to obtain the equivalent form −1/√(,2)

Final Answer

−√(,2)/2=−1/√(,2)

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