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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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What is the volume of a hemisphere with a radius of 3.8in, rounded to the nearest tenth of a cubic inch
Pavel [41]

Answer: 114.9\ in.^3

Step-by-step explanation:

Given

The radius of the hemisphere is r=3.8\ in.

The volume of a hemisphere is given by

V=\dfrac{2}{3}\pi r^3

Insert the value

V=\dfrac{2}{3}\pi \times (3.8)^3\\\\V=114.9\ in.^3

7 0
3 years ago
Write an equivalent expression for 25x - 45 using the properties of operations. Hint: find the GCF of 25 and 45. You use parenth
Oksana_A [137]

Answer:

25x - 45 = 5(5x - 9)

Step-by-step explanation:

Find the greatest common factor (GCF) of 25 and 45.

You can do this several ways, but one way is to list all the factors of both numbers and find the greatest common one:

Factors of 25: 1, 5, 25

Factors of 45: 1, 3, 5, 9, 15, 45

Therefore, 25 and 45 have 2 common factors: 1 and 5

So the greatest common factors is 5

25x - 45 = 5(ax - b)

To find the value of a, simply divide 25 by 5: 25 ÷ 5 = 5

To find the value of b, divide 45 by 5: 45 ÷ 5 = 9

25x - 45 = 5(5x - 9)

3 0
2 years ago
-43 - 4r = 3( 1 - 9r )
Karolina [17]

-43 - 4r = 3 - 27r

Add 27r to both sides. -43 - 4r + 27r = 3 -27r + 27r or -43 + 23r = 3

Add 43 to both sides. -43 + 43 +23r = 3 + 43 or 23r = 46.

Divide both sides by 23 to get r by itself. 23r / 23 = 46 / 23 or r = 2

r = 2

6 0
3 years ago
Read 2 more answers
The first digit of two different numbers is in the hundred million's place. Both numbers contain the same digits. Can you determ
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Given situation: The first 2 digit of the 2 different numbers is in the hundred millions place.
Then both numbers also have the same digit.
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The answer would be the same. The same because they both have the place value of millions place and they also share the same digits.
Thus, I conclude the both different numbers have the same value.
And since they have the same value, they are equal



5 0
3 years ago
Hey guys plz help with this one i beg
kvv77 [185]

Answer:

102

Step-by-step explanation:

i think it is the ans.

6 0
3 years ago
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