Simplify square root of 2/3

Problem

√(,2/3)

Solution

1. Apply the quotient property of radicals to separate the numerator and the denominator.

√(,2/3)=√(,2)/√(,3)

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

√(,2)/√(,3)⋅√(,3)/√(,3)

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

√(,2⋅3)/√(,3)

4. Simplify the expression to reach the final form.

√(,6)/3

Final Answer

√(,2/3)=√(,6)/3

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