Question

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 1

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

Explanation:

I got it right on edge

Answer 2

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)