Question

How do you simplify ( sqrt (2) + sqrt (3) ) ( sqrt (2) - sqrt (3) )?

Answer 1

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

By the algebraic identity, `color(red)(a^2 - b^2 = (a+b)(a-b)`

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

`=> 2 - 3 = -1`