Simplify: ( sqrt (2) + sqrt (3) ) ( sqrt (2) - sqrt (3) )?

a) 2 - 2 sqrt (6) - 3
b) -1
c) 2 + 2 sqrt (6) - 3
d) 5

i just need to know if my answer or right or wrong. i think the answer is b thanks

(a+b)(a-b) = a^2-b^2

so
2 -3
which is
-1

thanks damon

To simplify the expression (sqrt(2) + sqrt(3))(sqrt(2) - sqrt(3)), we can use the difference of squares formula, which states that (a + b)(a - b) = a^2 - b^2.

In this case, let's assign a = sqrt(2) and b = sqrt(3).
So, we have (sqrt(2) + sqrt(3))(sqrt(2) - sqrt(3)) = (sqrt(2))^2 - (sqrt(3))^2.

Now, simplifying the expression within the parentheses:
(sqrt(2))^2 = 2, and (sqrt(3))^2 = 3.

Therefore, (sqrt(2) + sqrt(3))(sqrt(2) - sqrt(3)) simplifies to 2 - 3 = -1.

So, your answer b) -1 is correct.