Evaluate square root of 3/3

Problem

√(,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. Recognize that the denominator 3 can be written as the square of its square root, which is (√(,3))2 or √(,3)⋅√(,3)

3. Substitute this representation into the denominator of the original expression.

√(,3)/(√(,3)⋅√(,3))

4. Simplify the fraction by canceling the common factor of √(,3) from both the numerator and the denominator.

1/√(,3)

5. Determine the decimal approximation if required, though the simplest radical form or the rationalized form is usually preferred. The value is approximately 0.577

Final Answer

√(,3)/3=1/√(,3)

Want more problems? Check here!