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=a^n*b^n

(3√(,11))^2=3^2⋅(√(,11))^2

2. Evaluate the square of the integer coefficient.

3^2=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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