Evaluate (2 square root of 3)^2

Problem

(2√(,3))2

Solution

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

(2√(,3))2=2⋅(√(,3))2

2. Evaluate the square of the integer coefficient.

2=4

3. Evaluate the square of the square root, noting that (√(,x))2=x for x≥0

(√(,3))2=3

4. Multiply the results together to find the final value.

4⋅3=12

Final Answer

(2√(,3))2=12

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