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

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प्रश्न

Write the conjugates of the following complex numbers: `sqrt(5) - "i"`

योग

उत्तर

Conjugate of `sqrt(5) - "i"  "is"  sqrt(5) + "i"`

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Conjugate of a Complex Number
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अध्याय 3: Complex Numbers - EXERCISE 3.1 [पृष्ठ ३७]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
अध्याय 3 Complex Numbers
EXERCISE 3.1 | Q 1) vi) | पृष्ठ ३७

संबंधित प्रश्न

Write the conjugates of the following complex numbers: 3 + i


Write the conjugates of the following complex numbers: 3 – i


Write the conjugates of the following complex numbers: `-sqrt(5) - sqrt(7)  "i"`


Write the conjugates of the following complex numbers: `sqrt(2) + sqrt(3)  "i"`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values  of a and b:

(1 + 2i)(– 2 + i)


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values  of a and b: `("i"(4 + 3"i"))/((1 - "i"))`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values  of a and b: `((2 + "i"))/((3 - "i")(1 + 2"i"))`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: `(3 + 2"i")/(2 - 5"i") + (3 - 2"i")/(2 + 5"i")`


Express the following in the form of a + ib, a, b ∈ R, i = `sqrt(-1)`. State the values of a and b: `(2 + sqrt(-3))/(4 + sqrt(-3))`


Show that `(-1 + sqrt(3)"i")^3` is a real number.


Show that `(-1 + sqrt(3) i)^3` is a real number.


Show that `(−1 + sqrt3 i)^3` is a real number.


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

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


Show that `(−1+ sqrt3 i)^3` is a real number.


Show that `(−1+ sqrt3 i)^3` is a real number.


Evaluate the following:

`i^35`


Show that `(- 1 + sqrt3 i)^3` is a real number.


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

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


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