Question

What is the following product?

Answer 1

98-40√6

Option D is the right option.

solution,

`(5 √(2) - 4 √(3) )(5 √(2) - 4 √(3) ) \\`

Write in the exponential form:

`(5 √(2) - 4 √(3) ) ^(2)`

Using (a-b)^2=a^2-2ab+b^2 ,expand:

`(5 √(2)) ^(2) - 2 * 5 √(2) * 4 √(3) + (4 √(3) ) ^(2)`

`= 50 - 40 √(6) + 48`

`= 50 + 48 - 40 √(6)`

Calculate:

`98 - 40 √(6)`

Hope this helps...

Good luck on your assignment..