Simplify (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 integer coefficient.

2^2=4

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

(√(,3))^2=3

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

4⋅3=12

Final Answer

(2√(,3))^2=12

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