Question

Solve the expression √(9) - 3√(5)/√(6) - √(9) + 3√(5)/√(6)

Answer 1

To solve the expression, simplify each term step-by-step and combine like terms. The final answer is 0.

Step-by-step explanation:

To solve the expression, we need to simplify each term in the expression. Let's break it down step-by-step:

1. Simplify √(9) as 3, since the square root of 9 is 3.
2. Simplify 3√(5)/√(6) as (3√5)/(√6).
3. Add the simplified terms: 3 - (3√5)/(√6) - 3 + (3√5)/(√6).
4. Combine like terms: 3 - 3 + (3√5)/(√6) - (3√5)/(√6).
5. Since 3 - 3 cancels out, we are left with (3√5)/(√6) - (3√5)/(√6).
6. When we subtract like fractions, we subtract the numerators: (3√5 - 3√5)/(√6).
7. The numerator becomes 0, so we have 0/(√6), which is 0.