Question

Simplify the equation Homework question not a test or exam question.

Answer 1

Given:

There are given the expression:

`(8-√(2))(2+√(2))`

Step-by-step explanation:

To find the value of the given expression, we need to use the FOIL method.

So,

From the FOIL method:

`(a+b)(c+d)=ac+ad+bc+bd`

Then,

Apply the above method to the given expression:

So,

From the expressin:

`\begin{gathered} (8-√(2))(2+√(2))=8\cdot2+8\cdot√(2)-2√(2)-√(2)\cdot√(2) \\ =16+8√(2)-2√(2)-2 \end{gathered}`

Then,

`\begin{gathered} 16+8√(2)-2√(2)-2=14+√(2)(8-2) \\ =14+6√(2) \end{gathered}`

Final answe:

Hence, the value of the expression is shown below:

`14+6√(2)`