Question

10..................................

Answer 1

For this case we must simplify the following expression:

`(3+ \sqrt {2}) (3- \sqrt {2})`

We apply distributive property:

`9-3 \sqrt {2} +3 \sqrt {2} - \sqrt {2} * \sqrt {2} =`

We take into account that different signs are subtracted and the sign of the major is placed:

`9 - (\sqrt {2}) ^ 2 =\\9-2 =`

We take into account that different signs are subtracted and the sign of the major is placed:

`9-2=7`

So, we have:

`(3+ \sqrt {2}) (3- \sqrt {2}) = 7`

Answer:

Option C

Answer 2

The answer is 7 ⇒ answer (C)

Explanation:

∵ (3 + √2)(3 - √2) =

9 - 3√2 + 3√2 - 2 = 9 - 2 = 7

∴ The answer is 7