Simplify square root of 4/x

Problem

√(,4/x)

Solution

1. Apply the quotient rule for radicals, which states that the square root of a quotient is equal to the quotient of the square roots.

√(,4/x)=√(,4)/√(,x)

2. Evaluate the square root of the constant in the numerator.

√(,4)/√(,x)=2/√(,x)

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

2/√(,x)⋅√(,x)/√(,x)

4. Simplify the expression by multiplying the terms.

(2√(,x))/x

Final Answer

√(,4/x)=(2√(,x))/x

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