Evaluate square root of 13/5

Problem

√(,13/5)

Solution

1. Apply the quotient rule for radicals to separate the numerator and the denominator.

√(,13/5)=√(,13)/√(,5)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,5)

√(,13)/√(,5)⋅√(,5)/√(,5)

3. Multiply the radicals in the numerator using the product rule √(,a)⋅√(,b)=√(,a*b)

√(,13)⋅√(,5)=√(,65)

4. Simplify the denominator by multiplying the square roots.

√(,5)⋅√(,5)=5

5. Combine the results into a single fraction.

√(,65)/5

Final Answer

√(,13/5)=√(,65)/5

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