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lukranit [14]
4 years ago
11

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

Mathematics
1 answer:
Pepsi [2]4 years ago
7 0
We can think of roots as x. For example, 2 \sqrt{5} can be 2x. Just treat it the same way. (but not the exact numbers!)

<span>(2√5 + 3√7)²
</span>(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.
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Step-by-step explanation:

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Rewrite  

67.5

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Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

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√

1

+

cos

(

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)

2

Simplify  

√

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+

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2

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−

√

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