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

Problem

1/2÷√(,3)/2

Solution

1. Rewrite the division as multiplication by the reciprocal of the divisor.

1/2⋅2/√(,3)

2. Multiply the numerators and the denominators.

(1⋅2)/(2⋅√(,3))

3. Cancel the common factor of 2 from the numerator and the denominator.

1/√(,3)

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

(1⋅√(,3))/(√(,3)⋅√(,3))

5. Simplify the resulting expression.

√(,3)/3

Final Answer

1/2÷√(,3)/2=√(,3)/3

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