Question

How do you simplify (3 - 2√2) (2 - 5√2)?

Answer 1

`color(green)(=> 26 - 19 sqrt2`

Explanation:

`(3-2 sqrt2) * (2 - 5 sqrt2)`

`=> 6 - 4 sqrt2 - 15 sqrt2 + (2 sqrt 2 * 5 sqrt2)`

`=> 6 - 19 sqrt2 + 10 (sqrt2)^2`, `color(crimson)((sqrt2)^2 = 2`

`=> 6 - 19 sqrt2 + 20`

`color(green)(=> 26 - 19 sqrt2`