Answered

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

Simplify The Equation Homework Question Not A Test Or Exam Question class=

Sagot :

Given:

There are given the expression:

[tex](8-\sqrt{2})(2+\sqrt{2})[/tex]

Explanation:

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

So,

From the FOIL method:

[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

Then,

Apply the above method to the given expression:

So,

From the expressin:

[tex]\begin{gathered} (8-\sqrt{2})(2+\sqrt{2})=8\cdot2+8\cdot\sqrt{2}-2\sqrt{2}-\sqrt{2}\cdot\sqrt{2} \\ =16+8\sqrt{2}-2\sqrt{2}-2 \end{gathered}[/tex]

Then,

[tex]\begin{gathered} 16+8\sqrt{2}-2\sqrt{2}-2=14+\sqrt{2}(8-2) \\ =14+6\sqrt{2} \end{gathered}[/tex]

Final answe:

Hence, the value of the expression is shown below:

[tex]14+6\sqrt{2}[/tex]

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