Question

rozwiaz przyklady stosujac metode wzorow skroconogo mnozenia i wyjasnij dlaczego tak jest:

(3 * 2^1/2 - 3) ^1/2 * (3*2^1/2 + 3 ) ^1/2

[(7+13^1/2)^1/2 + (7-13^1/2)^1/2]^2

Answer 1

(3 * 2^1/2 - 3) ^1/2 * (3*2^1/2 + 3 ) ^1/2

=[(3√2+3)(3√2-3)]^1/2=(18-9) ^1/2=9 ^1/2=√9

[(7+13^1/2)^1/2 + (7-13^1/2)^1/2]^2

=[(7+√13)^½+(7-√13)^½]²[(√7+√13)+(√7-√13)]²= =7+13+7-13+2(√7+√13)(√7-√13)=14+2(√49-13)=14+2√36=14+12=26