Question

(3+√2)(3-√2 )
Simplify

Answer 1

9

Explanation:

Multiply step by step, then add your individual answers.

a. (3 +
`√(2)`)(3 -
`√(2)`)

3 * 3 = 9

b. (3 +
`√(2)`)(3 -
`√(2)`)

`√(2)` * 3 = 3
`√(2)`

c. (3 +
`√(2)`)(3 -
`√(2)`)

3 * (-
`√(2)`) = -3
`√(2)`

d. 9 + 3
`√(2)` + (-3
`√(2)`)

The
`√(2)` terms cancel, since one is positive-3 and the other is negative-3. Therefore, all you have left is 9.