Simplify square root of 36x^6

Problem

√(,36*x6)

Solution

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

√(,36⋅x6)=√(,36)⋅√(,x6)

2. Evaluate the square root of the constant coefficient.

√(,36)=6

3. Simplify the radical of the variable part by using the rule √(,xn)=x(n/2)

√(,x6)=x(6/2)

4. Divide the exponent to find the final power of x

x(6/2)=x3

5. Combine the results to obtain the simplified expression.

6⋅x3=6*x3

Final Answer

√(,36*x6)=6*x3

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