Evaluate square root of 5/6

Problem

√(,5/6)

Solution

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

√(,5/6)=√(,5)/√(,6)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,6)

√(,5)/√(,6)⋅√(,6)/√(,6)

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

√(,5⋅6)/6

4. Simplify the expression by performing the multiplication inside the radical.

√(,30)/6

Final Answer

√(,5/6)=√(,30)/6

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