Question

Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2

Answer 1

Note: Consider the expression is
`(4+√(2))(6-√(2))`.

Given:

`(4+√(2))(6-√(2))`

To find:

The value of given expression in the form of
`b+c√(2)`.

Solution:

We have,

`(4+√(2))(6-√(2))`

Using distributive property, we get

`=4(6-√(2))+√(2)(6-√(2))`

`=4(6)+4(-√(2))+√(2)(6)+√(2)(-√(2))`

`=24-4√(2)+6√(2)-2`

On combining like terms, we get

`=(24-2)+(6√(2)-4√(2))`

`=22+2√(2)`

On comparing with
`b+c√(2)`, we get

`a=22,b=2`

Therefore, the required form is
`22+2√(2)`.