Math, asked by FuegaGamerFF, 2 months ago

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Answered by atharvarangdale
2

Step-by-step explanation:

1. a² + 1/a² :

a² = (3+√5)²/(2)² = 9+6√5 / 4 —(From formula)

1/a² = 4 / 9+6√5

So , a² + 1/a² = 9+6√5 (8)/ 9+6√5(4) = 2 — (LCM)

So , a² + 1/a² = 2

2. a³ + 1/a³ :

a³ = (3+√5)³ / (2)³ = (27 +27√5 + 45 + 5√5) / 8 = (9+ 4√5) —(Formula)

1/a³ = 1/9+4√5

So, a³ + 1/a³ = 2(9+4√5)/9+4√5 = 2—(LCM)

So , a³ + 1/a³ = 2

Hope it helps you

Answered by jaya07092006
1

Answer:

gn take care

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sweet dreams

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