Evaluate square root of 6/5

Problem

√(,6/5)

Solution

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

√(,6/5)=√(,6)/√(,5)

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

√(,6)/√(,5)⋅√(,5)/√(,5)

3. Multiply the radicals in the numerator and simplify the denominator.

√(,6⋅5)/5

4. Simplify the expression by calculating the product inside the square root.

√(,30)/5

Final Answer

√(,6/5)=√(,30)/5

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