Evaluate square root of 6/7

Problem

√(,6/7)

Solution

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

√(,6/7)=√(,6)/√(,7)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,7)

√(,6)/√(,7)⋅√(,7)/√(,7)

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

√(,6⋅7)/7

4. Simplify the product inside the square root.

√(,42)/7

Final Answer

√(,6/7)=√(,42)/7

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