Evaluate (-( square root of 3)/2)/(-1/2)

Problem

(−√(,3)/2)/(−1/2)

Solution

1. Identify the signs of the numerator and the denominator. Since both are negative, the result will be positive.

(−√(,3)/2)/(−1/2)=√(,3)/2/1/2

2. Apply the rule for dividing fractions, which is to multiply the numerator by the reciprocal of the denominator.

√(,3)/2⋅2/1

3. Simplify the expression by canceling the common factor of 2 in the numerator and the denominator.

(√(,3)⋅2)/(2⋅1)=√(,3)

Final Answer

(−√(,3)/2)/(−1/2)=√(,3)

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