Roots

Algebra Level pending

21 + 8 5 + 41 − 12 5 − 43 − 12 7 + 71 − 16 7 = ? \sqrt{21+8\sqrt{5}} + \sqrt{41-12\sqrt{5}} - \sqrt{43-12\sqrt{7}} + \sqrt{71-16\sqrt{7}}=?

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The answer is 12.

Fidel Simanjuntak by Fidel Simanjuntak , 19, Indonesia

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1 solution

Aziz Alasha
Sep 21, 2016
  • applying the formula : sqr (m+n+2sqr(mn)) = sqr (m )+ sqr (n)
  • first term = 4 + sqr (5)
    • 2nd term .... etc all roots cancel each other final result = 4 + 8 = 12
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