Question

( 2 root 2 + 3 root 3 ) ( 2 root 2 - 3 root 3 )​

Answer 1

Answer is -19.

Hope it helps...

Answer 2

(2√2 + 3√3)(2√2 - 3√3)

Using algebraic identity : (x + y)(x - y) = x² - y²

Here x = 2√2, y = 3√3

By substituting the values :

(2√2 + 3√3)(2√2 - 3√3) = (2√2)² - (3√3)²

= 4(2) - 9(3)

= 8 - 27

= -19

Therefore the value of (2√2 + 3√3)(2√2 - 3√3) is - 19.