Simplify square root of 16x^6

Problem

√(,16*x6)

Solution

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

√(,16*x6)=√(,16)⋅√(,x6)

2. Evaluate the square root of the constant coefficient 16

√(,16)=4

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.

4⋅x3=4*x3

Final Answer

√(,16*x6)=4*x3

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