Question

Jika p=2√3 + 3√2 dan q=√2 -√3. Nilai p^2 -q^2=...

Answer 1

( 2√3 + 3√2 )² - ( √2 - √3 )²
= ( 12 + 12√6 + 18 ) - ( 2 - 2√6 + 3 )
= ( 30 + 12√6 ) - 2 + 2√6 - 3
= 30 + 12√6 - 5 + 2√6
= 25 + 14√6

Answer 2

(2√3+3√2)(2√3+3√2)=12+12√6+18
(√2-√3)(√2-√3) = 2-2√6+3
p^2-q^2 = 12+12√6+18 - (2-2√6+3)
             = 12+12√6+18 - 2 +2√6 - 3
               14√6 + 25