Simplify

Problem

√(,48*x3)/√(,3*x)

Solution

1. Apply the quotient property of square roots, which states that √(,a)/√(,b)=√(,a/b)

√(,48*x3)/√(,3*x)=√(,(48*x3)/(3*x))

2. Simplify the fraction inside the radical by dividing the coefficients and subtracting the exponents of the variable x

48/3=16

(x3)/x=x2

3. Rewrite the expression using the simplified terms inside the square root.

√(,16*x2)

4. Take the square root of each factor individually.

√(,16)⋅√(,x2)

4*x

Final Answer

√(,48*x3)/√(,3*x)=4*x

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