Mathematics 58 Online
OpenStudy (anonymous):

Simplify the final answer: (4 + sqrt(7)) * (4 - sqrt(7))

OpenStudy (saifoo.khan):

FOIL.

OpenStudy (anonymous):

9.

OpenStudy (saifoo.khan):

$(4 + \sqrt{7}) * (4 - \sqrt{7})$

OpenStudy (anonymous):

16-7=9.

myininaya (myininaya):

$(a-b)(a+b)=a^2-b^2$

myininaya (myininaya):

$(4)^2-(\sqrt{7})^2=16-7=9$

OpenStudy (anonymous):

as we know that $(a-b)(a+b)=a^2-b^2$ hence $(4+sqrt7)(4-sqrt7)$ $((4)^2-(sqrt7)^2$ $16-7$ since 4^2=16 and sqrt7^2=7 $9$ got it

OpenStudy (anonymous):

did you really say FOIL?

OpenStudy (anonymous):

thanks kushashwa23 - makes complete sense!

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