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Perform the indicated operation and find...

Perform the indicated operation and find the result in the form `a+i b :(3-sqrt(-16))/(1-sqrt(-9))`

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The correct Answer is:
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`-(9)/(10)-(13)/(10)i`
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Perform the indicated operation and find the result in the form a+ib:(3-sqrt(-16))/(1-sqrt(-9))

Perform the indicated operation and find the result in the form a+ib:(2-sqrt(-25))/(1-sqrt(-16))

Perform the indicated operation and find the result in the form a+ib.(2-sqrt(-25))/(1-sqrt(-16)) (ii) (3-sqrt(-16))/(1-sqrt(-9))

In the following, perform the indicated operations and write the result in the form x+iy: sqrt(3)+(sqrt(3)-2i)-(3-2i)

Perform the indicated operations and write the result in the form x+iy: (i) (-3+2i)+(-6+3i) (ii) ((1)/(2)+(7)/(2)i)-(4+(5)/(2)i) (iii) (1-2i)-i+(4-7i)-2i+(5i+3) .

In the following, perform the indicated operations and write the result in the form x+iy: i^(3)+(6+3i)-(20+5i)+(14+3i) .

In the following, perform the indicated operations and write the result in the form x+iy: (i) (7-2i)-(3+2i)+(7+8i) (ii) 3-4i+2i-(8+7i) (iii) (7-2i)-(4+i)+(-3+5i)

Simplify and express the result in the form (a+b):(i)(3+sqrt(-16))-(4-sqrt(-9))(ii)(7-5i)(3+i)

(3-sqrt(-16))/(1-sqrt(-25)) is equal to

NAGEEN PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATION -EXERCISE 5B
  1. Convert the following in the form of (a+ib) : (i) (1+i)^(4) (ii) ...

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  2. Convert the following in the polar form : (i) (1+7i)/((2-i)^2) (ii) (...

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  3. Perform the indicated operation and find the result in the form a+i b ...

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  4. Prove that ((-1+isqrt(3))/(2))^(3) is a positive integer.

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  5. Convert [(3+2i)/( 3-2i)+ (3 -2i)/(3+2i)] in the form of (a+ib).

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  6. Prove that : (i) sqrt(i)= (1+i)/(sqrt(2)) (ii) sqrt(-i)=(1- i)/(sqr...

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  7. Find the sum and product of the complex number (3-4i) with its conjug...

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  8. Find the sum and product of the complex number (-1 +2i) with its conj...

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  9. Find the multiplicative inverse of the following complex number: (2+sq...

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  10. Write the following in the form of ordered pair : (i) 3-2i (ii)...

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  11. Convert the following in the form of a complex number : (i) (2, -5)...

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  12. Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+...

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  13. If z=1+2i, show that z^(2)-2z+5=0. Hence find the value of z^(3) +7z^...

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  14. Z=-5+4i then Z^4 +9Z^3 +35Z^2 – Z + 4 =

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  15. If z(1)=2-i, z(2)=1+ 2i, then find the value of the following : (i)...

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  16. If x + i y =(a+i b)/(a-i b),prove that x^2+y^2=1.

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  17. (x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

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  18. If = (a^(2) + 1)^(2)/(2a-i)=x+iy," then when is the value of " x^(2)+...

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  19. Write the least positive integral value of n for which ((1+i)/(1-i))^n...

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  20. The complex number z is purely imaginary , if

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