Simplify square root of 64x^6

Problem

√(,64*x6)

Solution

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

√(,64⋅x6)=√(,64)⋅√(,x6)

2. Evaluate the square root of the constant coefficient.

√(,64)=8

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 simplified power.

x(6/2)=x3

5. Combine the results to form the final simplified expression.

8⋅x3=8*x3

Final Answer

√(,64*x6)=8*x3

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