Diamond said that the absolute value of $(- 3 - \sqrt{5} i)$ $(-3-sqrt5 i)$ is $\sqrt{34}$ $sqrt34$ and De'Andre said it is $\sqrt{14}$ $sqrt14$ . Who is correct and why?

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Diamond said that the absolute value of $(- 3 - \sqrt{5} i)$ $(-3-sqrt5 i)$ is $\sqrt{34}$ $sqrt34$ and De'Andre said it is $\sqrt{14}$ $sqrt14$ . Who is correct and why?

1 Answer

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Answer 1 · 2018-01-21T07:11:20

De'Andre is correct

Explanation:

for any complex number say of the form
$z = x + i y$ $z = x+ iy$ the absolute value is given by
${(x^{2} + y^{2})}^{\frac{1}{2}}$ $(x^2 + y^2)^(1/2)$
hence the absolute value of $- 3 - {(5)}^{\frac{1}{2}} i$ $-3-(5)^(1/2)i$
is given by
${(3^{2} + 5^{\frac{1}{2} \cdot 2})}^{\frac{1}{2}}$ $(3^2 + 5^(1/2*2))^(1/2)$
which is $\sqrt[]{14}$ $root()14$
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Diamond said that the absolute value of $(- 3 - \sqrt{5} i)$ $(-3-sqrt5 i)$ is $\sqrt{34}$ $sqrt34$ and De'Andre said it is $\sqrt{14}$ $sqrt14$ . Who is correct and why?

1 Answer

Explanation:

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Science

Math

Humanities

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Diamond said that the absolute value of (−3−√5i)(-3-sqrt5 i) is √34sqrt34 and De'Andre said it is √14sqrt14. Who is correct and why?

1 Answer

Explanation:

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Impact of this question

Diamond said that the absolute value of $(- 3 - \sqrt{5} i)$ $(-3-sqrt5 i)$ is $\sqrt{34}$ $sqrt34$ and De'Andre said it is $\sqrt{14}$ $sqrt14$ . Who is correct and why?