Simplify ( square root of 5)/( square root of 41)

Problem

√(,5)/√(,41)

Solution

1. Identify the expression as a fraction with a radical in the denominator.

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,41)

√(,5)/√(,41)⋅√(,41)/√(,41)

3. Multiply the numerators using the property √(,a)⋅√(,b)=√(,a*b)

√(,5⋅41)=√(,205)

4. Multiply the denominators using the property √(,a)⋅√(,a)=a

√(,41)⋅√(,41)=41

5. Combine the results into a single fraction.

√(,205)/41

Final Answer

√(,5)/√(,41)=√(,205)/41

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