Evaluate ( square root of 5)/5

Problem

√(,5)/5

Solution

1. Identify the expression as a fraction involving a square root in the numerator.

2. Rewrite the denominator 5 as a power of its square root to see if the expression can be simplified further.

5=(√(,5))2

3. Substitute this identity back into the original expression.

√(,5)/((√(,5))2)

4. Simplify the fraction by canceling one factor of √(,5) from both the numerator and the denominator.

1/√(,5)

5. Rationalize the denominator if a radical-free denominator is preferred, which returns the expression to its original form. Since the original form √(,5)/5 is already rationalized, it is considered the standard simplified form.

Final Answer

√(,5)/5=√(,5)/5

Want more problems? Check here!