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25 October, 12:08

Evaluate (root5+root2) ^2 + (root8-root5) ^2

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  1. 25 October, 12:22
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    Answer

    2 (10 - √10) or 13.68 to the nearest hundredth.

    Step-by-step explanation:

    (√5 + √2) ^2 + (√8 - √5) ^2

    = 5 + 2 + 2√5√2 + (8 + 5 - 2√8√5)

    = 7 + 2√10 + 13 - 2√40

    = 20 + 2√10 - 2√40

    = 20 + 2√10 - 4√10

    = 20 - 2√10

    = 2 (10 - √10).
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