part 2

the integer just less than (2+âˆš3)⁵

5 Answers

106

Asish Mahapatra ·2009-01-19 23:53:34

The answer is [(2+âˆš3)^5 + (2-âˆš3)^5 - 1]

subash, it seems that the question of the last day was not clear to you?

It is the same...

yesterdays q was clear

but here my doubt is why cant it be

(2+âˆš3)⁵-(2-âˆš3)⁵

106

Asish Mahapatra ·2009-01-20 08:28:23

if you consider subtracting the terms please expand and see what you get. You will get an expression which will contain âˆš3. It will be irrational

got it tanx

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

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