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28 December, 09:40

Step-by-step solution for: (√2+√10) ^2

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  1. 28 December, 10:11
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    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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