Evaluate square root of 7/3

Problem

√(,7/3)

Solution

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

√(,7/3)=√(,7)/√(,3)

2. Rationalize the denominator by multiplying both the numerator and the denominator by √(,3)

√(,7)/√(,3)⋅√(,3)/√(,3)

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

√(,21)/3

Final Answer

√(,7/3)=√(,21)/3

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