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Compute the following: sqrt(-25)+3sqrt(-...

Compute the following: `sqrt(-25)+3sqrt(-4)+2sqrt(-9)`

A

-17i

B

-17

C

17i

D

17

Text Solution

Verified by Experts

The correct Answer is:
C
Given `sqrt(-25)+3sqrt(-4)+2sqrt(-9)`
simplifying
`sqrt(5**5**-1)+3sqrt(2**2**-1)+2sqrt(3**3**-1)`
`=>5sqrt(-1)+6sqrt(-1)+6sqrt(-1)`
`=>17sqrt(-1) or 17 i`
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
  1. Compute the following: sqrt(-144)

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  2. Compute the following: sqrt(-4)xxsqrt((-9)/4)

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  3. Compute the following: sqrt(-25)+3sqrt(-4)+2sqrt(-9)

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  4. A student writes the formula sqrt(a b)=sqrt(a)\ sqrt(b)dot Then he sub...

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  5. Is the following computation correct? If not give the correct comput...

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  6. If (a+b)-i(3a+2b)=5+2i, find a\ a n d\ b.

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  7. Find the multiplicative inverse of z=3-2idot

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

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  9. Express the following in the form a+i b :(5i)(-3/5i)

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  10. Express the following in the form a+i b : i^(-39)

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  11. Express the following in the form a+i b :(-i)(2i)(-1/8i)^3

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

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  13. Express the following in the form a+i b :(1-i)^4

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

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

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

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

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

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  19. Express each of the following in the form a+i b :(5-3i)^2

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

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