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5 votes
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

User SvenG
by
3.4k points

2 Answers

5 votes

Answer:

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

Explanation:

I got it right on edge

User Bamse
by
3.2k points
4 votes

Answer:

98 - 40√6

Explanation:

We have to simplify the following product :


(5√(2) - 4√(3))(5√(2) - 4√(3)).

Now,
(5√(2) - 4√(3))(5√(2) - 4√(3))

=
(5√(2) - 4√(3))^(2)

=
(5√(2))^(2) - 2 (5√(2)) (4√(3)) + (4√(3) )^(2)

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

= 50 - 40√6 + 48

= 98 - 40√6 (Answer)

User Dutchmega
by
3.3k points