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)2⋅(√(,3))2

2. Evaluate the square of the coefficient by multiplying −2 by itself.

(−2)2=4

3. Evaluate the square of the radical by using the property (√(,x))2=x

(√(,3))2=3

4. Multiply the results to find the final value.

4⋅3=12

Final Answer

(−2√(,3))2=12

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