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Digiron [165]
3 years ago
5

Plz Simplify using i. √-15√-4

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Step-by-step explanation:

\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{-15}\cdot\sqrt{-4}=\sqrt{(-15)(-4)}=\sqrt{60}=\sqrt{(4)(15)}=\sqrt4\cdot\sqrt{15}=2\sqrt{15}

\text{If the examples are separate.}\\\\\sqrt{-1}=i\\\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\\sqrt{-15}=\sqrt{(15)(-1)}=\sqrt{15}\cdot\sqrt{-1}=\sqrt{15}\ i\\\\\sqrt{-4}=\sqrt{(4)(-1)}=\sqrt4\cdot\sqrt{-1}=2i

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mrs_skeptik [129]
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In the notation (r, </span>α) if you make r negative, it points in the opposite direction. If you add 180° to α you compensate for that.

Therefore (6,31°) = (-6,31°+180°) = (-6, 211°)

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3 years ago
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Answer:

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multiply both sides of the equation by 8 to eliminate the fraction

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3 years ago
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4 years ago
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4 0
4 years ago
Read 2 more answers
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