3 years ago

Step-by-step solution for: (√2+√10)^2

1 answer:

azamat3 years ago

5 0

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

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