Evaluate square root of 17/3

Problem

√(,17/3)

Solution

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

√(,17/3)=√(,17)/√(,3)

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

√(,17)/√(,3)⋅√(,3)/√(,3)

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

√(,17⋅3)/√(,3)

4. Simplify the expression to reach the final radical form.

√(,51)/3

Final Answer

√(,17/3)=√(,51)/3

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