Simplify square root of 9x^6

Problem

√(,9*x6)

Solution

1. Apply the product property of radicals to separate the constant and the variable term.

√(,9⋅x6)=√(,9)⋅√(,x6)

2. Evaluate the square root of the constant coefficient.

√(,9)=3

3. Simplify the square root of the variable term by dividing the exponent by the index of the radical (which is 2).

√(,x6)=x(6/2)

x(6/2)=x3

4. Combine the results to find the final simplified expression.

3⋅x3=3*x3

Final Answer

√(,9*x6)=3*x3

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