Evaluate (3 square root of 11)^2

Problem

(3√(,11))2

Solution

1. Apply the power of a product rule, which states that (a*b)n=an*bn

(3√(,11))2=3⋅(√(,11))2

2. Evaluate the square of the integer coefficient.

3=9

3. Simplify the square root being squared, as (√(,x))2=x for x≥0

(√(,11))2=11

4. Multiply the results to find the final value.

9⋅11=99

Final Answer

(3√(,11))2=99

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