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Simplify (2√5 + 3√7)² Show your work. Justify each step.

Simplify (2√5 + 3√7)² Show your work. Justify each step.
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1 vote
Simplify (2√5 + 3√7)² Show your work. Justify each step.

User Trant
by
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1 Answer

5 votes
We can think of roots as x. For example, 2
√(5) can be 2x. Just treat it the same way. (but not the exact numbers!)

(2√5 + 3√7)²
(2√5 + 3√7)(2√5 + 3√7)
Distribute.
4√25+6√35+6√35+9√49
Simplify.
4(5)+12√35+9(7)
30+63+12√35
83+12√35 is your answer.
User Ruben Serrate
by
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