Home
Class 11
MATHS
Express each of the following in the for...

Express each of the following in the form `a+i b :(1/3+3i)^3`

Text Solution

Verified by Experts

The correct Answer is:
N/a
`((1)/(3)+3i)^(3)`
`" "=((1)/(3))^(3)+(3i)^(3)+3*(1)/(3)*3i((1)/(3)+3i)`
`" "=(1)/(27)+27i^(3)+3i((1)/(3)+3i)`
`" "=(1)/(27)+27i(i)^(2)+i+9 i^(2)`
`" "=(1)/(27)-27i+i- 9`
`" "=(-9+(1)/(27))+i(-26)`
`" "=((-243+1)/(27))-26i`
`" "=-(242)/(27)-26i`
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5.2|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5.3|10 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN ENGLISH|Exercise EXERCISE 5F|10 Videos

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exericse|20 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Express each of the following in the form a+i b :(-2-1/3i)^3

Express each of the following in the form a+i b :{(1/3+7/3i)+(4+1/3i)}-(-4/3+i)

Express each of the following in the form a+i b :(5-3i)^3

Express each of the following in the form a+i b :(1/5+2/5i)-(4+5/2i)

Express each of the following in the form a+i b :(1-i)-(-1+6i)

Express each of the following in the form a+i b :(-sqrt(3)+\ sqrt(-2))(2sqrt(3)-i)

Express each of the following in the form a+i b :3(7+7i)+i(7+7i)

Express the following in the form a+i b : (-5i)(1/8i)

Express the following in the form a+i b : i^9+i^(19)

Express each of the following in the form p/q : (i)(2/3)^2 (ii) ((-3)/4)^3 (iii) ((-2)/5)^4