Simplify square root of 144x^6

Problem

√(,144*x6)

Solution

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

√(,144⋅x6)=√(,144)⋅√(,x6)

2. Evaluate the square root of the constant coefficient 144

√(,144)=12

3. Simplify the radical of the variable part by dividing the exponent by the index of the root, which is 2

√(,x6)=x(6/2)

x(6/2)=x3

4. Combine the results to find the simplified expression.

12⋅x3=12*x3

Final Answer

√(,144*x6)=12*x3

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