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=a^n*b^n

(−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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