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Express the following expression in the ...

Express the following expression in the form a+ib `((3+isqrt5) (3-isqrt5))/((sqrt3+sqrt2i)-(sqrt3-isqrt2))`

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Express the following expression in form of a+ib : ((3+i sqrt(5))(3-i sqrt(5)))/((sqrt(3)+sqrt(2) ( i ))-(sqrt(3)-i sqrt(2)))

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A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Find the multiplicative inverse of the following, sqrt5+3i

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  2. Find the multiplicative inverse of the following complex number -i

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  3. Express the following expression in the form a+ib ((3+isqrt5) (3-isqrt...

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  4. Write the values of i^2, i^4 and i^6

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  5. Show that 1+i^2+i^4+i^6=0

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  6. Using the value of i^2, prove that 1/i=-i

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  7. Prove that (1+i)^4(1+1/i)^4=16

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  8. Express (3-i)^2/(2+i) in the form x+iy

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  9. Find the conjugate of (3-i)^2/(2+i)

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  10. Using the results abs(z^2) = absz^2 and abs(z1/z2) = (abs(z1))/abs(z2)...

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  11. Express (1)/(1-2i)+(3)/(1+i) in the form x + iy

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  12. Find the modulus of the complex number (1/(1-2i)+3/(1+i)) ((3+4i)/(2-4...

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  13. Evaluate sqrt(-16)+3sqrt(-25)+sqrt(-36)-sqrt(-625)

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  14. A student writes the formula sqrt(ab) = sqrtasqrtb. Then he substitute...

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  15. Evaluate 4x^2+8x+35, when x=2+sqrt-3

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  16. Consider the complex number z1 = 3+i and z2 = 1+i .What is the conjuga...

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  17. Consider the complex number z1 = 3+i and z2 = 1+i .Find 1/z2

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  18. Consider the complex number z1 = 3+i and z2 = 1+i .Using the value of ...

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  19. Prove that abs((a+i)^2/(2a-i)) = (a^2+1)/(sqrt(4a^2+1))

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  20. If (a+i)^2/(2a-i) = p+iq, prove that p^2+q^2 = (a^2+1)^2/(4a^2+1)

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