हिंदी

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

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प्रश्न

Write the conjugates of the following complex number:

`-sqrt(-5)`

योग

उत्तर

Simplifying the given equation by separating `sqrt−1` from it.

`- sqrt5 = - sqrt 5 sqrt -1`

`= - sqrt5i        ...("As  i" = sqrt -1)`

Comparing the given equation with `a+ib`
`a = 0 and b = - sqrt5`

Inverting the sign for imaginary part gives,

Conjugate: a - ib

= 0 - (- sqrt5i)`

`= 0 + sqrt5i`

`= sqrt5i` 

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Conjugate of a Complex Number
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
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) iv) | पृष्ठ ३७
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