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25 October, 22:56

Simplify (2√5+3√7) ^2

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Answers (2)
  1. 26 October, 00:21
    0
    The answer is: 83 + 12√35

    (a + b) ² = a² + 2ab + b²

    In (2√5 + 3√7) ², a = 2√5, b = 3√7

    Just substitute a and b:

    (a + b) ² = a² + 2ab + b² = (2√5) ² + 2 * 2√5 * 3√7 + (3√7) ² =

    = 2²√5² + 2 * 2 * 3 * √5 * √7 + 3²√7² =

    = 4 * 5 + 12 * √ (5*7) + 9 * 7 =

    = 20 + 12 * √35 + 63 =

    = 83 + 12√35
  2. 26 October, 01:18
    0
    (2 sq. root 5 + 3 sq. root 7) (2 sq. root 5 + 3 sq. root 7)

    4•sq root 25 + 6 sq. root 35 + 6 sq. root 35 + 9 sq. root 49

    4 • 5 + 12 sq. root 35 + 9 • 7

    20 + 12 sq. root 35 + 63.

    I believe this would be the solution.
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