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Expand and simplyfy(7+√(6))^(2)
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28 votes
28 votes
Expand and simplyfy
(7+√(6))^(2)

User Jacob Bridges
by
2.0k points

1 Answer

23 votes
23 votes

Answer:

55 + 14
√(6)

Explanation:

(7 +
√(6) )²

= (7 +
√(6) )(7 +
√(6) )

Each term in the second factor is multiplied by each term in the first factor.

7(7 +
√(6) ) +
√(6) (7 +
√(6) ) ← distribute parenthesis

= 49 + 7
√(6) + 7
√(6) + 6 ← collect like terms

= 55 + 14
√(6)

User Ori
by
2.8k points
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