Evaluate 4/( square root of 3)

Problem

4/√(,3)

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 √(,3)

4/√(,3)⋅√(,3)/√(,3)

3. Multiply the numerators together and the denominators together.

(4⋅√(,3))/(√(,3)⋅√(,3))

4. Simplify the denominator, noting that √(,3)⋅√(,3)=3

(4√(,3))/3

Final Answer

4/√(,3)=(4√(,3))/3

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