Which of the following is equal to (2)/(sqrt (6)-sqrt (2)) A (sqrt (6)+sqrt (2))/(2) B. (1)/(2) C. (sqrt (6)+sqrt (2))/(4) D. (sqrt (6)-sqrt (2))/(2) E. (1)/(sqrt (3)-sqrt (1)) F. (sqrt (6)-sqrt (2))/(4)

Question

Which of the following is equal to (2)/(sqrt (6)-sqrt (2)) A (sqrt (6)+sqrt (2))/(2) B. (1)/(2) C. (sqrt (6)+sqrt (2))/(4) D. (sqrt (6)-sqrt (2))/(2) E. (1)/(sqrt (3)-sqrt (1)) F. (sqrt (6)-sqrt (2))/(4)

Answer 1

## Step 1: Rationalizing the Denominator### To simplify the expression, we multiply the numerator and denominator by the conjugate of the denominator, which is

.## Step 2: Multiplication### Multiply the numerator and denominator by the conjugate:

## Step 3: Simplification### Simplify the expression:

Question

Which of the following is equal to (2)/(sqrt (6)-sqrt (2)) A (sqrt (6)+sqrt (2))/(2) B. (1)/(2) C. (sqrt (6)+sqrt (2))/(4) D. (sqrt (6)-sqrt (2))/(2) E. (1)/(sqrt (3)-sqrt (1)) F. (sqrt (6)-sqrt (2))/(4)

Solution

Answer

Explanation