Simplify square root of 121y^10

Problem

√(,121*y10)

Solution

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

√(,121⋅y10)=√(,121)⋅√(,y10)

2. Evaluate the square root of the numerical constant 121

√(,121)=11

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

√(,y10)=y(10/2)

4. Perform the division in the exponent to find the final power of y

y(10/2)=y5

5. Combine the results to obtain the simplified expression.

11⋅y5=11*y5

Final Answer

√(,121*y10)=11*y5

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