Question

Expand:

`(sqrt(3) - sqrt(2))^2`

Answer 1

Let’s expand:

`(sqrt(3) - sqrt(2))^2`

Using the identity:

(a – b)² = a² – 2ab + b²

Let:

• `a = sqrt(3)`
• `b = sqrt(2)`

Then:

= `(sqrt(3))^2 - 2(sqrt(3))(sqrt(2)) + (sqrt(2))^2`

= `3 - 2sqrt(6) + 2`

= `5 - 2sqrt(6)`