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Is the following computation correct? If...

Is the following computation correct? If not give the correct computation: `[sqrt((-2))sqrt((-3))]=sqrt((-2)(-3))=sqrt(6)`

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Verified by Experts

The said computation is not correct,
because -2 and -3 both are negative and `sqrt(ab) = sqrt(a) sqrt(b)`
is ture when at least one of a and b is positive or zero.
The correct computation is
`(sqrt(-2))(sqrt(-3))= (isqrt(2)) (isqrt(3))=i^(2) sqrt(6) = -sqrt(6)`
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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
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  2. A student writes the formula sqrt(a b)=sqrt(a)\ sqrt(b)dot Then he sub...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. Express the following in the standard form a+i b :1/(3-4i)

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