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use the foil method to evaluate the expression: left parenthesis 2 plus square root of 3 right parenthesis left parenthesis square root of 3 minus 7 right parenthesis

Sagot :

After evaluating the  ( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) expression we get -5[tex]\sqrt{3}[/tex] - 11.

What do you mean by FOIL method?

FOIL stands for "First, Outer, Inner, Last".

It is the sum of:

· multiplying the First terms from the two brackets,

· multiplying the Outer terms from the two brackets,

· multiplying the Inner terms from the two brackets, and

· multiplying the Last terms from the two brackets

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

Here, we have given the equation:

( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7)

here,

First terms = 2 x [tex]\sqrt{3}[/tex] = 2 [tex]\sqrt{3}[/tex]

Outer terms = 2(-7) = -14

Inner terms = [tex]\sqrt{3}[/tex]x[tex]\sqrt{3}[/tex] = 3

Last terms = -7[tex]\sqrt{3}[/tex]

Now adding all these together we get,

( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) = 2 [tex]\sqrt{3}[/tex] - 14 + 3 + -7[tex]\sqrt{3}[/tex]

( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) = -5[tex]\sqrt{3}[/tex] - 11

Hence,

After evaluating the  ( 2 + [tex]\sqrt{3}[/tex] ) ( [tex]\sqrt{3}[/tex] - 7) expression we get -5[tex]\sqrt{3}[/tex] - 11.

Learn more about " Foil Method " from here: https://brainly.com/question/2092062

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