Posted by **Taurus** on Saturday, September 8, 2012 at 8:38pm.

I need help on these kinds of radical problems. Once I get the examples solved, I think I can do others.

1. What is the solution to the square root of -9? No solution, yes or no?

2. The square root of: 6x/3x? The answer is 2?

3. The square root of -0.01? No solution? Is there an answer to the square root of a negative number?

4. The cube root of -3 times the cube root of 9.

- Algebra -
**Damon**, Saturday, September 8, 2012 at 9:03pm
3 i or 3 times the square root of -1

If you have not had imaginary numbers in your course, the answer is no real number solution

no, square root of 2 or [ sqrt 2 }

Yes there is an answer to the square root of a negative number but not in real numbers. If you have not covered imaginary and complex numbers, then there is no solution.

(-27)^1/3

This is not imaginary but complex, a sum of real and imaginary parts.

convert to polar coordinates in the complex plane

27 (cos 180 + i sin 180)

or

27 e^(180 i)

now take cube root by finding cube root of coef and dividing theta by 3

3 e^60 i is a root

so is 3 e^(60+120)i and 3e^(60 -120 i) or 3 ( cos 60 + i sin 60)

3 (cos 180 + i sin 180)

3(cos -60 + i sin -60)

3 ( .5 + .866 i)

-3

3 ( .5 - .866 i)

If you do not know complex numbers, -3 is the only answer you can give.

## Answer this Question

## Related Questions

- Algebra 2 - could you walk me thorugh these problems simplfy square root 18 - 3 ...
- algebra - 1.)correct 2.)wrong---> the first term is wrong 4(3a^2)^2 = 36a^4 3...
- Math - What are the solution sets of the following 3 problems,the square root of...
- ALGEBRA - 1, Factor each expression x^2 - 10x - 24 A. (x + 4)(x - 6) B. (x + 6)(...
- College Algebra - I need some help with a handful of questions. I need to see ...
- College Algebra - I need some help with a handful of questions. I need to see ...
- College Algebra help please - I need some help with a handful of questions. I ...
- Algebra - How do you work square root problems when there is a number outside ...
- algebra - Help Fast PLEASE!! check for corrections on my problems 1.Rewrte the ...
- Algebra - Hello Reiny, please check these problems for me and if they are not ...

More Related Questions