What is the following product?

(5 StartRoot 2 EndRoot minus 4 StartRoot 3 EndRoot) (5 StartRoot 2 EndRoot minus 4 StartRoot 3 EndRoot)
–2
2
22 – 40 StartRoot 6 EndRoot
98 – 41 StartRoot 6 EndRoot

Answer :

Answer:

98 - 40√6

Step-by-step explanation:

We have to simplify the following product :

[tex] (5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})[/tex].

Now, [tex] (5\sqrt{2} - 4\sqrt{3})(5\sqrt{2} - 4\sqrt{3})[/tex]

= [tex] (5\sqrt{2} - 4\sqrt{3})^{2}[/tex]

= [tex] (5\sqrt{2})^{2} - 2 (5\sqrt{2}) (4\sqrt{3}) + (4\sqrt{3} )^{2}[/tex]  

{Since we know the identity (a - b)² = a² - 2ab + b² }

= 50 - 40√6 + 48

= 98 - 40√6 (Answer)

Answer:

98-40 sqrt 60 so it would be D on edge

Step-by-step explanation:

I got it right on edge

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