Simplify -2/( square root of 2)

Problem

(−2)/√(,2)

Solution

1. Identify the expression as a fraction with an irrational denominator.

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,2)

(−2)/√(,2)⋅√(,2)/√(,2)

3. Multiply the terms in the numerator and the denominator.

(−2√(,2))/2

4. Simplify the fraction by dividing the numerator and the denominator by their greatest common factor, which is 2

−√(,2)

Final Answer

(−2)/√(,2)=−√(,2)

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