Simplify the following:
(�ã3 - �ã2)^2
The answer has to be 5-2 �ã6
Can anyone please explain? Thanks
Sorry those two symbols in front of the 3 and 2 have to be square roots!
set it as
[sqrt(3) - sqrt(2)]* [sqrt(3) - sqrt(2)]
and then use FOIL
To simplify the expression (�ã3 - �ã2)^2, you can follow these steps:
Step 1: Expand the expression. To expand a binomial expression, use the formula (a - b)^2 = a^2 - 2ab + b^2. In this case, let a = �ã3 and b = �ã2.
(a - b)^2 = (�ã3)^2 - 2(�ã3)(�ã2) + (�ã2)^2
= 3 - 2(�ã6) + 2
= 3 - 2�ã6 + 2
= 5 - 2�ã6
Therefore, the simplified form of (�ã3 - �ã2)^2 is 5 - 2 �ã6.