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Mathematics
Misael Church
22 October, 09:54
Evaluate (root5+root2) ^2 + (root8-root5) ^2
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Anna Erickson
22 October, 13:19
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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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