Question

If a = 2-√5 / 2+√5 and b =2+√5/2-√5, find a 2 - b 2

Answer 1

Solution:-
a = (2-√5)/(2+√5) and b = (2+√5)/(2-√5)
a = (2-√5)/(2+√5) × (2-√5)/(2-√5)
⇒ (4-4√5+5)/(4-5)
⇒ (9-4√5)/-1
⇒ a = -9+4√5
b = (2+√5)/(2-√5) × (2+√5)/(2+√5)
⇒ (4+4√5+5)/(4-5)
⇒ (9+4√5)/-1
b = -9-4√5
a² - b² = (-9+4√5)² - (-9-4√5)
⇒ 81+80-72√5 - (81+80+72√5)
⇒ 81+80-72√5-81-80-72√5
⇒ -72√5-72√5
a² - b² = -144√5  Answer.

Answer 2

pls make this as brainlist answer