Simplify

Problem

√(4,243*x5)/√(4,3*x)

Solution

1. Apply the quotient property of radicals to combine the numerator and denominator into a single fourth root.

√(4,(243*x5)/(3*x))

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

√(4,81*x4)

3. Evaluate the fourth root of each factor separately.

√(4,81)⋅√(4,x4)

4. Calculate the final values noting that the fourth root of 81 is 3 and the fourth root of x4 is x (assuming x≥0.

3*x

Final Answer

√(4,243*x5)/√(4,3*x)=3*x

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