How do you simplify $(sqrt11-3)(sqrt11+3)$ ?

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Answer 1 · 2018-04-16T22:51:14

The result is $2$ .

Use the FOIL method to expand the parentheses:

$color(white)=(sqrt11-3)(sqrt11+3)$

$=sqrt11*sqrt11+3sqrt11-3sqrt11-3*3$

$=sqrt11*sqrt11color(red)cancelcolor(black)(color(black)+3sqrt11-3sqrt11)-3*3$

$=sqrt11*sqrt11-3*3$

$=sqrt11*sqrt11-9$

$=(sqrt11)^2-9$

$=11-9$

$=2$

You can check this using a calculator:

![https://www.desmos.com/calculator]( useruploads.socratic.org )

Hope this helped!

How do you simplify (sqrt11-3)(sqrt11+3)(sqrt11-3)(sqrt11+3)?