Simplify

Problem

√(,72*x3)/√(,2*x)

Solution

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

√(,(72*x3)/(2*x))

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

72/2=36

(x3)/x=x2

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

√(,36*x2)

4. Evaluate the square root of each factor, assuming x>0

√(,36)=6

√(,x2)=x

Final Answer

√(,72*x3)/√(,2*x)=6*x

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