Simplify square root of 121x^6

Problem

√(,121*x6)

Solution

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

√(,121⋅x6)=√(,121)⋅√(,x6)

2. Evaluate the square root of the numerical constant 121

√(,121)=11

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

√(,x6)=x(6/2)

x(6/2)=x3

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

11⋅x3=11*x3

Final Answer

√(,121*x6)=11*x3

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