Simplify (( square root of 3)/2)^2

Problem

(√(,3)/2)2

Solution

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

(√(,3)/2)2=((√(,3))2)/2

2. Simplify the numerator by squaring the square root, which cancels the radical.

(√(,3))2=3

3. Simplify the denominator by calculating the square of 2.

2=4

4. Combine the results into a single fraction.

3/4

Final Answer

(√(,3)/2)2=3/4

Want more problems? Check here!