1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alika [10]
2 years ago
13

How to find the square root of complex numbers?? Find the square root of (6+8i) ??​

Mathematics
2 answers:
expeople1 [14]2 years ago
7 0

Answer: NaN

Step-by-step explanation: The square root of a complex number can be determined using a formula. Just like the square root of a natural number comes in pairs (Square root of x2 is x and -x), the square root of complex number a + ib is given by √(a + ib) = ±(x + iy), where x and y are real numbers.

http://www.math.com/students/calculators/source/square-root.htm

that's the website I used

You can also maybe do it on a scientific calculator?

Hope that's helpful

ivann1987 [24]2 years ago
6 0

Answer:

2 \sqrt{2}  + i \sqrt{2}

Step-by-step explanation:

The square of a complex number is a complex number. Here, we have:

{(a + bi)}^{2}  = 6 + 8i

{a}^{2}  + 2abi -  {b}^{2}  = 6  + 8i

We then have this system of equations:

{a}^{2}  -  {b}^{2}  = 6

2ab = 8

Solving this system:

ab = 4

b =  \frac{4}{a}

{a}^{2}  -  {( \frac{4}{a}) }^{2} = 6

{a}^{2}  -  \frac{16}{ {a}^{2} } = 6

{a}^{4}  - 16 =  6{a}^{2}

{a}^{4}  - 6 {a}^{2}  - 16 = 0

( {a}^{2}  - 8)( {a}^{2}  + 2) = 0

{a}^{2}   = 8

a = 2 \sqrt{2}

b =  \frac{4}{2 \sqrt{2} } =  \sqrt{2}

You might be interested in
Anybody can help on anyone of these please quick !!!
malfutka [58]
19) B
20) D
21) A
22) B
23) C
24) C
8 0
3 years ago
HELP 100 POINT FAST (NO WRONG ANSWER) + BRAINLIEST TO WHO EVER ANSWERS FIRST U^U
Ahat [919]

Answer:

\Large \boxed{\sf A}

Step-by-step explanation:

\displaystyle \left(\frac{2}{3}\right)^4

<em>n</em>  → exponent, means to multiply the base number by itself <em>n  </em>no. of times.

Here we multiply the base number by itself 4 times.

\displaystyle \frac{2}{3}\cdot \frac{2}{3}\cdot \frac{2}{3}\cdot \frac{2}{3}

8 0
2 years ago
Read 2 more answers
The symmetry of a hyperbola with a center at (h, k) only occurs at y = k. True or False
Vikki [24]
A hyperbola with a center at (0, 0) can be defined  as x²/a² − y²/b² = ±1.<span> 
</span>The statement "<span>The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" </span>is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.
6 0
3 years ago
In ty’s art class, 12% of the flag day art projects received a perfect score. There were 25 art projects turned in by ty’s class
Pani-rosa [81]
Take the 25 art projects devised by 100% would be .25 then multiply .25 by the percentage that got perfect scores in which you would get 3 perfect scores

.25x12=3
3 0
2 years ago
Read 2 more answers
Excel computes a two‑sample confidence interval for the difference in proportions just as well and as easily as Minitab and othe
True [87]

Answer:

See ecplanation below

Step-by-step explanation:

False.

On the Data analysis tool from excel we can conduct the following procedures:

Anova: Single Factor

Anova: Two factor with replication

Anova: Two factor without replication

Correlation

Covariance

Descriptive statistics

Exponential smoothing

F-test Two sample for Variances

Fourier analysis

Histogram

Moving Average

Random number generation

Rank and percentile

Regression

Sampling

t test: Paired two sample for means

t tes: Two sample assuming equal variances

t test: Two sample Assuming Unequal Variances

z test: Two sample for means

And as we can see we don't have an specific procedure just to obtain confidence interval for the difference of proportions. We need to remember that if we select a z test in excel, for example the output will contain the confidence associated to the parameter, but for this case is not too easy obtain a confidence interval for the difference of proportion like on a statistical software as (Minitab, R, SAS, etc) since all of these statistical softwares are elaborated in order to conduct all the possible statistical tests and confidence intervals for parameters of interest.

5 0
3 years ago
Other questions:
  • I forgot to do my homework this weekend and it is lat so if anyone could help me that would be great
    14·1 answer
  • 70
    10·2 answers
  • Let f(x) = -3x - 4 and g(x) = 2x - 6. find (f*g)(-7)<br><br> A. 28 <br> B. -20 <br> C. 17 <br> D. 56
    5·1 answer
  • Graph the line with slope -2 and y-intercept -3
    10·1 answer
  • Solve 2 + 3ex + 2 = 7 for x. Please be quick
    15·1 answer
  • Factor the expression 48g^2 -22gh -15h^2
    6·1 answer
  • I NEED HELP PLZZZZZZZZ!!!!
    11·2 answers
  • Help with this please
    5·1 answer
  • One Classroom has a volume of 564 cubic feet. Another classroom measure 17 feet tall , 8 feet long , and 5 feet wide. How much b
    11·1 answer
  • At 8:00 pm on Wednesday a friend in San Francisco, California (based on 120 degrees W) calls a friend in Miami, Florida (75 degr
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!