Respuesta :

meowymeowylee
(7 - √2)(8 + √2)

Use distributive property to solve this.

56 + 7√2 - 8√2 - 2
54 - 1√2

54 - √2
Hope this helped! :)

Answer:

[tex]54-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\left(7-\sqrt{2}\right)\left(8+\sqrt{2}\right)[/tex]

Apply FOIL method:-

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

[tex]a=7\b=-\sqrt{2}\c=8\d=\sqrt{2}[/tex]

[tex]7\times \:8+7\sqrt{2}+\left(-\sqrt{2}\right)\times \:8+\left(-\sqrt{2}\right)\sqrt{2}[/tex]

Now, Apply minus/ plus rule:-

[tex]+\left(-a\right)=-a[/tex]

[tex]7\times \:8+7\sqrt{2}-8\sqrt{2}-\sqrt{2}\sqrt{2}[/tex]

[tex]=54-\sqrt{2}[/tex]

OAmalOHopeO

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