438,851 views
34 votes
34 votes
If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³

User Zoya Sheikh
by
2.9k points

2 Answers

6 votes
6 votes

Answer:

64

Explanation:

Given :

  • a = 2 - √5/2 + √5
  • b = 2 + √5/2 - √5

Evaluating (a + b)³ :

  • (2 - √5/2 + √5 + 2 + √5/2 - √5)³
  • (2 + 2 - √5/2 + √5/2 + √5 - √5)³
  • (4)³
  • 64
User Amrnt
by
3.0k points
26 votes
26 votes

Explanation:

really ? you need help here ... - that means you did not even look at it once ...

a = 2 - sqrt(5)/2 + sqrt(5)

b = 2 + sqrt(5)/2 - sqrt(5)

a + b = 2 + 2 = 4 (the rest add up to 0)

(a+b)³ = 4³ = 64

User Caleb Kester
by
2.7k points
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