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. Rewrite the expression by flipping the denominator.

1/√(,3)/2=2/√(,3)

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

(2⋅√(,3))/(√(,3)⋅√(,3))

5. Simplify the product in the denominator.

(2√(,3))/3

Final Answer

1/√(,3)/2=(2√(,3))/3

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