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Find the multiplicative inverse of the c...

Find the multiplicative inverse of the complex number.
`sqrt(5)+3i`

Text Solution

Verified by Experts

let `sqrt 5 + 3i=z`
so`z^-1 = 1/z`
`= 1/(sqrt5+3i)`
rationalizing it , we get
`1/(sqrt5 + 3i)*(sqrt5 - 3i)/(sqrt5- 3i) `
`= (sqrt5 - 3i)/(5+9)`
`= (sqrt5 -3i)/14`
answer
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Knowledge Check

  • If the multiplicative inverse of a complex number is (sqrt(5) + 6i)/(41) then the complex number itself is :

    A
    `sqrt(5) - 6i`
    B
    `sqrt(5) + 6i`
    C
    `6+ sqrt(7)i`
    D
    none of these
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