Step-by-step solution for: (√2+√10)^2

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19-02-2016
Mathematics

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Step-by-step solution for: (√2+√10)^2

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olemakpadu olemakpadu · Answer 1 · 2016-02-19T14:25:58-05:00

Note: √a √a = a
   √a √b = √ab

(√2 + √10)² = (√2 + √10)(√2 + √10)
= √2(√2 + √10) + √10(√2 + √10)
= √2√2 + √2√10 + √10√2 + √10√10
=    2 + √20 + √20 + 10
      = (2 + 10) + (√20 + √20)
      = 12 + 2√20

√20 = √(4 5) = √4 √5 = 2√5

   = 12 + 2√20 = 12 + 2(2√5)
   = 12 + 4√5