(6-√3)(4+√3)

Answer 1

To solve this expression, we can use the distributive property of multiplication:

(6 - √3)(4 + √3)

First, multiply the first terms together:

6 * 4 = 24

Then, multiply the outer terms together:

6 * √3 = 6√3

Next, multiply the inner terms together:

-√3 * 4 = -4√3

Finally, multiply the last terms together:

-√3 * √3 = -√(3 * 3) = -√9 = -3

Now, add all the results together:

24 + 6√3 - 4√3 - 3

Combine like terms:

(24 - 3) + (6√3 - 4√3)

Simplify further:

21 + 2√3

Therefore, (6 - √3)(4 + √3) = 21 + 2√3.