English

Write the conjugates of the following complex number: --5 - Mathematics and Statistics

Advertisements
Advertisements

Question

Write the conjugates of the following complex number:

`-sqrt(-5)`

One Line Answer

Solution

The conjugates of `-sqrt(-5) = -sqrt(5)"i"   "is"  sqrt(5)"i"`

shaalaa.com
  Is there an error in this question or solution?
Chapter 1: Complex Numbers - Exercise 1.1 [Page 6]

RELATED QUESTIONS

If `((1+i)/(1-i))^m` = 1, then find the least positive integral value of m.


Simplify the following and express in the form a + ib:

`(1 + 2/"i")(3 + 4/"i")(5 + "i")^-1`


Simplify the following and express in the form a + ib:

`(sqrt(5) + sqrt(3)"i")/(sqrt(5) - sqrt(3)"i")`


Write the conjugates of the following complex number:

`-sqrt(5) - sqrt(7)"i"`


Write the conjugates of the following complex number:

`sqrt(5) - "i"`


Find the value of i + i2 + i3 + i4 


Find the value of `("i"^6 + "i"^7 + "i"^8 + "i"^9)/("i"^2 + "i"^3)`


If (x + iy)3 = y + vi then show that `(y/x + "v"/y)` = 4(x2 – y2)


Find the value of x and y which satisfy the following equation (x, y∈R).

(x + 2y) + (2x − 3y)i + 4i = 5


Find the value of x and y which satisfy the following equation (x, y∈R).

If x + 2i + 15i6y = 7x + i3 (y + 4), find x + y


Select the correct answer from the given alternatives:

If n is an odd positive integer then the value of 1 + (i)2n + (i)4n + (i)6n is :


Select the correct answer from the given alternatives:

`sqrt(-3) sqrt(-6)` is equal to


Answer the following:

Simplify the following and express in the form a + ib:

(2i3)2 


Answer the following:

Simplify the following and express in the form a + ib:

(2 + 3i)(1 − 4i)


Answer the following:

Simplify the following and express in the form a + ib:

`(3"i"^5 + 2"i"^7 + "i"^9)/("i"^6 + 2"i"^8 + 3"i"^18)`


Answer the following:

Simplify the following and express in the form a + ib:

`(5 + 7"i")/(4 + 3"i") + (5 + 7"i")/(4 - 3"i")`


Solve the following equation for x, y ∈ R:

2x + i9y (2 + i) = xi7 + 10i16


Answer the following:

Find the real numbers x and y such that `x/(1 + 2"i") + y/(3 + 2"i") = (5 + 6"i")/(-1 + 8"i")`


Answer the following:

Simplify: `("i"^238 + "i"^236 + "i"^234 + "i"^232 + "i"^230)/("i"^228 + "i"^226 + "i"^224 + "i"^222 + "i"^220)`


Locate the points for which 3 < |z| < 4.


The value of `(- sqrt(-1))^(4"n" - 3)`, where n ∈ N, is ______.


Number of solutions of the equation z2 + |z|2 = 0 is ______.


If `((1 + i)/(1 - i))^3 - ((1 - i)/(1 + i))^3` = x + iy, then find (x, y).


If |z + 1| = z + 2(1 + i), then find z.


Find the complex number satisfying the equation `z + sqrt(2) |(z + 1)| + i` = 0.


For any two complex numbers z1, z2 and any real numbers a, b, |az1 – bz2|2 + |bz1 + az2|2 = ______.


The value of `sqrt(-25) xx sqrt(-9)` is ______.


Where does z lie, if `|(z - 5i)/(z + 5i)|` = 1.


Let |z| = |z – 3| = |z – 4i|, then the value |2z| is ______.


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Simplify the following and express in the form a + ib.

`(3i^5 +2i^7 +i^9)/(i^6 +2i^8 +3i^18)`


Simplify the following and express in the form a+ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18`


Simplify the following and express in the form a + ib.

`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`


Simplify the following and express in the form a + ib.

`(3"i"^5 + 2"i"^7 + "i"^9)/("i"^6 + 2"i"^8 + 3"i"^18)`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×