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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}

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Would like to see the step-by-step how to solve this!
tiny-mole [99]

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

a) 23 + (-16) + 42 * 5 - (-3)

= 23 - 16 + 210 + 3 = 220

b) -6(12 - 15) + 23

= -6(-3) + 23 = 18 + 23

= 41

c) -50 + (-10) + (5 - 3)4

= -50 - 10 + 2(4) = -50 - 10 + 8

= -52

d) -4.5 (-0.53) + (-1)

= 2.385 - 1

= 1.385

e) 5 - 2 + 8

= 3 + 8

= 11

The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11

Find out more on equation at: brainly.com/question/2972832

#SPJ1

8 0
1 year ago
If g(t) = 2(t)-6, find g(10)
ElenaW [278]
All good. Fill in t with 10 and solve for the expression g(t). 10 = t so it fill in

4 0
3 years ago
The weight of mr nazeer is 7 times that of his son. What's the ratio of their weights?
Mekhanik [1.2K]

Answer:

<h3>7:1</h3>

Step-by-step explanation:

Let the weight of mr nazeer be x

Let the weight of his son be y

If the weight of mr nazeer is 7 times that of his son, then x = 7y

To get the ratio of their weight:

Ratio = weight of father/weight of son

Ratio = 7y/y

Ratio = 7/1

Ratio = 7:1

Hence the ratio of their weights is 7:1

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Answer:

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Step-by-step explanation:

23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)

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The answer is c . I hope I helped
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