simplify: square root (4/3)-square root (3/4)

A. 2-sqaure root(3)/2 square root (3)
B. square root (7/12)
C. square root (3)/6
D. 2/square root (3)

which answer?

this is what i got square root (16/12)- square root (9/12)= square root (7/12)

why are you switching names

thats my middle name

√(4/3) - √(3/4)

2/√3 - √3/2
2√3/3 - √3/2
4√3/6 - 3√3/6
√3/6

(C)

To simplify the expression sqrt(4/3) - sqrt(3/4), you can follow these steps:

1. Start by simplifying each square root individually:
- sqrt(4/3) = sqrt(4)/sqrt(3) = 2/sqrt(3)
- sqrt(3/4) = sqrt(3)/sqrt(4) = sqrt(3)/2

2. Substitute the simplified square roots back into the original expression:
- 2/sqrt(3) - sqrt(3)/2

So, the simplified expression is 2/sqrt(3) - sqrt(3)/2.

Now let's compare this simplified expression to the given answer choices:
A. 2-sqrt(3)/(2sqrt(3)) - This is not equal to the simplified expression.
B. sqrt(7/12) - This is not equal to the simplified expression.
C. sqrt(3)/6 - This is not equal to the simplified expression.
D. 2/sqrt(3) - This is equal to the simplified expression.

Therefore, the correct answer is D. 2/sqrt(3).