Simplify (2 square root of 3)/3

Problem

(2√(,3))/3

Solution

1. Identify the expression as a fraction involving a square root in the numerator and a rational number in the denominator.

2. Analyze the relationship between the numerator and the denominator. Note that 3 can be expressed as (√(,3))2

3. Rewrite the denominator to see if cancellation is possible.

(2√(,3))/((√(,3))2)

4. Simplify the fraction by dividing both the numerator and the denominator by √(,3)

2/√(,3)

5. Determine the standard form. In many contexts, the original expression (2√(,3))/3 is already considered the simplest "rationalized" form because the denominator is a rational number.

Final Answer

(2√(,3))/3=(2√(,3))/3

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