Question

(3+√2)(3-√2 )
Simplify

Answer 1

Answer:

9

Step-by-step explanation:

Multiply step by step, then add your individual answers.

a. (3 + $\sqrt{2}$)(3 - $\sqrt{2}$)

3 * 3 = 9

b. (3 + $\sqrt{2}$)(3 - $\sqrt{2}$)

$\sqrt{2}$ * 3 = 3 $\sqrt{2}$

c. (3 + $\sqrt{2}$)(3 - $\sqrt{2}$)

3 * (- $\sqrt{2}$) = -3 $\sqrt{2}$

d. 9 + 3 $\sqrt{2}$ + (-3 $\sqrt{2}$)

The $\sqrt{2}$ terms cancel, since one is positive-3 and the other is negative-3. Therefore, all you have left is 9.