Evaluate (5 square root of 26)/26

Problem

(5√(,26))/26

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 26 can be written as the square of its square root, which is (√(,26))2

3. Rewrite the expression to see if any terms can be canceled or simplified.

(5√(,26))/26=(5√(,26))/(√(,26)⋅√(,26))

4. Simplify the fraction by canceling the common factor of √(,26) from both the numerator and the denominator.

5/√(,26)

5. Determine if further simplification is possible. Since 26=2⋅13 the square root √(,26) cannot be simplified into smaller integer factors. The original form (5√(,26))/26 is already the standard rationalized form.

Final Answer

(5√(,26))/26=(5√(,26))/26

Want more problems? Check here!