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

Problem

1/(−√(,3)/2)

Solution

1. Identify the expression as the reciprocal of a fraction.

2. Apply the rule for dividing by a fraction, which states that 1/a/b=b/a

3. Invert the fraction in the denominator and keep the negative sign.

1/(−√(,3)/2)=−2/√(,3)

4. Rationalize the denominator by multiplying both the numerator and the denominator by √(,3)

−2/√(,3)⋅√(,3)/√(,3)=−(2√(,3))/3

Final Answer

1/(−√(,3)/2)=−(2√(,3))/3

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